Correlation Clusters [LuxAlgo]The Correlation Clusters is a machine learning tool that allows traders to group sets of tickers with a similar correlation coefficient to a user-set reference ticker.
The tool calculates the correlation coefficients between 10 user-set tickers and a user-set reference ticker, with the possibility of forming up to 10 clusters.
🔶 USAGE
Applying clustering methods to correlation analysis allows traders to quickly identify which set of tickers are correlated with a reference ticker, rather than having to look at them one by one or using a more tedious approach such as correlation matrices.
Tickers belonging to a cluster may also be more likely to have a higher mutual correlation. The image above shows the detailed parts of the Correlation Clusters tool.
The correlation coefficient between two assets allows traders to see how these assets behave in relation to each other. It can take values between +1.0 and -1.0 with the following meaning
Value near +1.0: Both assets behave in a similar way, moving up or down at the same time
Value close to 0.0: No correlation, both assets behave independently
Value near -1.0: Both assets have opposite behavior when one moves up the other moves down, and vice versa
There is a wide range of trading strategies that make use of correlation coefficients between assets, some examples are:
Pair Trading: Traders may wish to take advantage of divergences in the price movements of highly positively correlated assets; even highly positively correlated assets do not always move in the same direction; when assets with a correlation close to +1.0 diverge in their behavior, traders may see this as an opportunity to buy one and sell the other in the expectation that the assets will return to the likely same price behavior.
Sector rotation: Traders may want to favor some sectors that are expected to perform in the next cycle, tracking the correlation between different sectors and between the sector and the overall market.
Diversification: Traders can aim to have a diversified portfolio of uncorrelated assets. From a risk management perspective, it is useful to know the correlation between the assets in your portfolio, if you hold equal positions in positively correlated assets, your risk is tilted in the same direction, so if the assets move against you, your risk is doubled. You can avoid this increased risk by choosing uncorrelated assets so that they move independently.
Hedging: Traders may want to hedge positions with correlated assets, from a hedging perspective, if you are long an asset, you can hedge going long a negatively correlated asset or going short a positively correlated asset.
Grouping different assets with similar behavior can be very helpful to traders to avoid over-exposure to those assets, traders may have multiple long positions on different assets as a way of minimizing overall risk when in reality if those assets are part of the same cluster traders are maximizing their risk by taking positions on assets with the same behavior.
As a rule of thumb, a trader can minimize risk via diversification by taking positions on assets with no correlations, the proposed tool can effectively show a set of uncorrelated candidates from the reference ticker if one or more clusters centroids are located near 0.
🔶 DETAILS
K-means clustering is a popular machine-learning algorithm that finds observations in a data set that are similar to each other and places them in a group.
The process starts by randomly assigning each data point to an initial group and calculating the centroid for each. A centroid is the center of the group. K-means clustering forms the groups in such a way that the variances between the data points and the centroid of the cluster are minimized.
It's an unsupervised method because it starts without labels and then forms and labels groups itself.
🔹 Execution Window
In the image above we can see how different execution windows provide different correlation coefficients, informing traders of the different behavior of the same assets over different time periods.
Users can filter the data used to calculate correlations by number of bars, by time, or not at all, using all available data. For example, if the chart timeframe is 15m, traders may want to know how different assets behave over the last 7 days (one week), or for an hourly chart set an execution window of one month, or one year for a daily chart. The default setting is to use data from the last 50 bars.
🔹 Clusters
On this graph, we can see different clusters for the same data. The clusters are identified by different colors and the dotted lines show the centroids of each cluster.
Traders can select up to 10 clusters, however, do note that selecting 10 clusters can lead to only 4 or 5 returned clusters, this is caused by the machine learning algorithm not detecting any more data points deviating from already detected clusters.
Traders can fine-tune the algorithm by changing the 'Cluster Threshold' and 'Max Iterations' settings, but if you are not familiar with them we advise you not to change these settings, the defaults can work fine for the application of this tool.
🔹 Correlations
Different correlations mean different behaviors respecting the same asset, as we can see in the chart above.
All correlations are found against the same asset, traders can use the chart ticker or manually set one of their choices from the settings panel. Then they can select the 10 tickers to be used to find the correlation coefficients, which can be useful to analyze how different types of assets behave against the same asset.
🔶 SETTINGS
Execution Window Mode: Choose how the tool collects data, filter data by number of bars, time, or no filtering at all, using all available data.
Execute on Last X Bars: Number of bars for data collection when the 'Bars' execution window mode is active.
Execute on Last: Time window for data collection when the `Time` execution window mode is active. These are full periods, so `Day` means the last 24 hours, `Week` means the last 7 days, and so on.
🔹 Clusters
Number of Clusters: Number of clusters to detect up to 10. Only clusters with data points are displayed.
Cluster Threshold: Number used to compare a new centroid within the same cluster. The lower the number, the more accurate the centroid will be.
Max Iterations: Maximum number of calculations to detect a cluster. A high value may lead to a timeout runtime error (loop takes too long).
🔹 Ticker of Reference
Use Chart Ticker as Reference: Enable/disable the use of the current chart ticker to get the correlation against all other tickers selected by the user.
Custom Ticker: Custom ticker to get the correlation against all the other tickers selected by the user.
🔹 Correlation Tickers
Select the 10 tickers for which you wish to obtain the correlation against the reference ticker.
🔹 Style
Text Size: Select the size of the text to be displayed.
Display Size: Select the size of the correlation chart to be displayed, up to 500 bars.
Box Height: Select the height of the boxes to be displayed. A high height will cause overlapping if the boxes are close together.
Clusters Colors: Choose a custom colour for each cluster.
Regressions
Intraday Percentage Drawdown from ATHTrack Intraday ATH:
The script maintains an intradayATH variable to track the highest price reached during the trading day up to the current point.
This variable is updated whenever a new high is reached.
Calculate Drawdown and Percentage Drawdown:
The drawdown is calculated as the difference between the intradayATH and the current closing price (close).
The percentage drawdown is calculated by dividing the drawdown by the intradayATH and multiplying by 100.
Plot Percentage Drawdown:
The percentageDrawdown is plotted on the chart with a red line to visually represent the drawdown from the intraday all-time high.
Draw Recession Line:
A horizontal red line is drawn at the 20.00 level, labeled "Recession". The line is styled as dotted and has a width of 2 for better visibility.
Draw Correction Line:
A horizontal yellow line is drawn at the 10.00 level, labeled "Correction". The line is styled as dotted and has a width of 2 for better visibility.
Draw All Time High Line:
A horizontal green line is drawn at the 0.0 level to represent the all-time high, labeled "All Time High". The line is styled as dotted and has a width of 2 for better visibility.
This script will display the percentage drawdown along with reference lines at 20% (recession), 10% (correction), and 0% (all-time high).
Linear Regression ChannelLinear Regression Channel with Logarithmic Scale Option
This advanced Linear Regression Channel indicator offers traders a powerful tool for technical analysis, with unique features that set it apart from standard implementations.
Key Features:
Logarithmic Scale Option: One of the most distinctive aspects of this indicator is the ability to switch between classic and logarithmic scales. This feature is particularly valuable for long-term analysis, as it ensures that equal percentage changes are represented equally, regardless of the price level.
Flexible Start Date: Unlike many indicators that rely on a fixed number of periods, this tool allows users to set a specific start date and time. This feature provides precise control over the regression analysis timeframe, enhancing its adaptability to various trading strategies.
Customizable Channel Settings: Users can adjust the upper and lower deviation multipliers, allowing for fine-tuning of the channel width to suit different market conditions and trading styles.
Trend Strength Indicator: An optional feature that displays the strength of the trend based on the Pearson correlation coefficient, offering additional insight into the reliability of the current trend.
Comprehensive Visual Customization: The indicator offers extensive color and style options for the regression line, upper and lower channel lines, and fill areas, allowing traders to create a visually appealing and easy-to-read chart setup.
Extended Line Options: Users can choose to extend the regression lines to the left, right, or both, facilitating projection and analysis of future price movements.
Multiple Alert Conditions: The indicator includes four alert conditions for crossing the upper deviation, lower deviation, and the main regression line in both directions, enhancing its utility for active traders.
Why Choose This Indicator:
The combination of logarithmic scale option and flexible start date setting makes this Linear Regression Channel uniquely suited for both short-term and long-term analysis. The logarithmic scale is particularly beneficial for analyzing assets with significant price changes over time, as it normalizes percentage moves across different price levels. This feature, coupled with the ability to set a precise start date, allows traders to perform more accurate and relevant regression analyses, especially when studying specific market cycles or events.
Moreover, the trend strength indicator and customizable visual elements provide traders with a comprehensive tool that not only identifies potential support and resistance levels but also offers insight into the reliability and strength of the current trend.
In summary, this Linear Regression Channel indicator combines flexibility, precision, and insightful analytics, making it an invaluable tool for traders seeking to enhance their technical analysis capabilities on TradingView.
Regression Indicator [BigBeluga]Regression Indicator
Indicator Overview:
The Regression Indicator is designed to help traders identify trends and potential reversals in price movements. By calculating a regression line and a normalized regression indicator, it provides clear visual signals for market direction, aiding in making informed trading decisions. The indicator dynamically updates with the latest market data, ensuring timely and relevant signals.
Key Features:
⦾ Calculations
Regression Indicator: Calculates the linear regression coefficients (slope and intercept) and derives the normalized distance close from the regression line.
// @function regression_indicator is a Normalized Ratio of Regression Lines with close
regression_indicator(src, length) =>
sum_x = 0.0
sum_y = 0.0
sum_xy = 0.0
sum_x_sq = 0.0
distance = 0.0
// Calculate Sum
for i = 0 to length - 1 by 1
sum_x += i + 1
sum_y += src
sum_xy += (i + 1) * src
sum_x_sq += math.pow(i + 1, 2)
// Calculate linear regression coefficients
slope = (length * sum_xy - sum_x * sum_y)
/ (length * sum_x_sq - math.pow(sum_x, 2))
intercept = (sum_y - slope * sum_x) / length
// Calculate Regression Indicator
y1 = intercept + slope
distance := (close - y1)
distance_n = ta.sma((distance - ta.sma(distance, length1))
/ ta.stdev(distance, length1), 10)
⦿ Reversion Signals:
Marks potential trend reversal points.
⦿ Trend Identification:
Highlights when the regression indicator crosses above or below the zero line, signaling potential trend changes.
⦿ Color-Coded Candles:
Changes candle colors based on the regression indicator's value.
⦿ Arrow Markers:
Indicate trend directions on the chart.
⦿ User Inputs
Regression Length: Defines the period for calculating the regression line.
Normalization Length: Period used to normalize the regression indicator.
Signal Line: Length for averaging the regression indicator to generate signals.
Main Color: Color used for plotting the regression line and signals.
The Regression Indicator is a powerful tool for analyzing market trends and identifying potential reversal points. With customizable inputs and clear visual aids, it enhances the trader's ability to make data-driven decisions. The dynamic nature of the indicator ensures it remains relevant with up-to-date market information, making it a valuable addition to any trading strategy."
Market Cycle Phases IndicatorOverview
The Market Cycle Phases Indicator is a powerful tool designed to help traders identify and visualize the different phases of market cycles. By distinguishing between Accumulation, Uptrend, Distribution, and Downtrend phases, this indicator provides a clear and color-coded representation of market conditions, aiding in better decision-making and strategy development. It is especially useful for long-term investors to observe and understand market cycles over extended periods. The phases are color-coded for easy identification: Green for Accumulation, Blue for Uptrend, Yellow for Distribution, and Red for Downtrend.
Key Features
Identifies four key market phases: Accumulation, Uptrend, Distribution, and Downtrend
Uses a combination of moving averages and volatility measures
Color-coded background for easy visualization of market phases
Adjustable parameters for moving average length, volatility length, and volatility threshold
Plots the moving average and Average True Range (ATR) for reference
Suitable for both short-term trading and long-term investing
Concepts Underlying the Calculations
The calculations behind the Market Cycle Phases Indicator are straightforward, combining the principles of moving averages and volatility measures:
Moving Average (MA): A simple moving average is used to determine the overall trend direction.
Average True Range (ATR): This measures market volatility over a specified period.
Volatility Threshold: A multiplier is applied to the ATR to distinguish between high and low volatility conditions.
How It Works
The indicator first calculates a moving average (MA) of the closing prices and the Average True Range (ATR) to measure market volatility. Based on the position of the price relative to the MA and the current volatility level, the indicator determines the current market phase:
Accumulation Phase: Price is below the MA, and volatility is low (Green background). This phase often indicates a period of consolidation and potential buying interest before an uptrend.
Uptrend Phase: Price is above the MA, and volatility is high (Blue background). This phase represents a strong upward movement in price, often driven by increased buying activity.
Distribution Phase: Price is above the MA, and volatility is low (Yellow background). This phase suggests a period of consolidation at the top of an uptrend, where selling interest may start to increase.
Downtrend Phase: Price is below the MA, and volatility is high (Red background). This phase indicates a strong downward movement in price, often driven by increased selling activity.
How Traders Can Use It
Traders can use the Market Cycle Phases Indicator to:
Identify potential entry and exit points based on market phase transitions.
Confirm trends and avoid false signals by considering both trend direction and volatility.
Develop and refine trading strategies tailored to specific market conditions.
Enhance risk management by recognizing periods of high and low volatility.
Observe long-term market cycles to make informed investment decisions.
Example Usage Instructions
Add the Market Cycle Phases Indicator to your chart.
Adjust the input parameters as needed:
Base Length: Default is 50.
Volatility Length: Default is 14.
Volatility Threshold: Default is 1.5.
Observe the color-coded background to identify the current market phase
Use the identified phases to inform your trading decisions:
Consider buying during the Accumulation or Uptrend phases.
Consider selling or shorting during the Distribution or Downtrend phases.
Combine with other indicators and analysis techniques for comprehensive market insights.
By incorporating the Market Cycle Phases Indicator into your trading toolkit, you can gain a clearer understanding of market dynamics and enhance your ability to navigate different market conditions, making it a valuable asset for long-term investing.
Multi-Regression StrategyIntroducing the "Multi-Regression Strategy" (MRS) , an advanced technical analysis tool designed to provide flexible and robust market analysis across various financial instruments.
This strategy offers users the ability to select from multiple regression techniques and risk management measures, allowing for customized analysis tailored to specific market conditions and trading styles.
Core Components:
Regression Techniques:
Users can choose one of three regression methods:
1 - Linear Regression: Provides a straightforward trend line, suitable for steady markets.
2 - Ridge Regression: Offers a more stable trend estimation in volatile markets by introducing a regularization parameter (lambda).
3 - LOESS (Locally Estimated Scatterplot Smoothing): Adapts to non-linear trends, useful for complex market behaviors.
Each regression method calculates a trend line that serves as the basis for trading decisions.
Risk Management Measures:
The strategy includes nine different volatility and trend strength measures. Users select one to define the trading bands:
1 - ATR (Average True Range)
2 - Standard Deviation
3 - Bollinger Bands Width
4 - Keltner Channel Width
5 - Chaikin Volatility
6 - Historical Volatility
7 - Ulcer Index
8 - ATRP (ATR Percentage)
9 - KAMA Efficiency Ratio
The chosen measure determines the width of the bands around the regression line, adapting to market volatility.
How It Works:
Regression Calculation:
The selected regression method (Linear, Ridge, or LOESS) calculates the main trend line.
For Ridge Regression, users can adjust the lambda parameter for regularization.
LOESS allows customization of the point span, adaptiveness, and exponent for local weighting.
Risk Band Calculation:
The chosen risk measure is calculated and normalized.
A user-defined risk multiplier is applied to adjust the sensitivity.
Upper and lower bounds are created around the regression line based on this risk measure.
Trading Signals:
Long entries are triggered when the price crosses above the regression line.
Short entries occur when the price crosses below the regression line.
Optional stop-loss and take-profit mechanisms use the calculated risk bands.
Customization and Flexibility:
Users can switch between regression methods to adapt to different market trends (linear, regularized, or non-linear).
The choice of risk measure allows adaptation to various market volatility conditions.
Adjustable parameters (e.g., regression length, risk multiplier) enable fine-tuning of the strategy.
Unique Aspects:
Comprehensive Regression Options:
Unlike many indicators that rely on a single regression method, MRS offers three distinct techniques, each suitable for different market conditions.
Diverse Risk Measures: The strategy incorporates a wide range of volatility and trend strength measures, going beyond traditional indicators to provide a more nuanced view of market dynamics.
Unified Framework:
By combining advanced regression techniques with various risk measures, MRS offers a cohesive approach to trend identification and risk management.
Adaptability:
The strategy can be easily adjusted to suit different trading styles, timeframes, and market conditions through its various input options.
How to Use:
Select a regression method based on your analysis of the current market trend (linear, need for regularization, or non-linear).
Choose a risk measure that aligns with your trading style and the market's current volatility characteristics.
Adjust the length parameter to match your preferred timeframe for analysis.
Fine-tune the risk multiplier to set the desired sensitivity of the trading bands.
Optionally enable stop-loss and take-profit mechanisms using the calculated risk bands.
Monitor the regression line for potential trend changes and the risk bands for entry/exit signals.
By offering this level of customization within a unified framework, the Multi-Regression Strategy provides traders with a powerful tool for market analysis and trading decision support. It combines the robustness of regression analysis with the adaptability of various risk measures, allowing for a more comprehensive and flexible approach to technical trading.
Double Top, Double Bottom & Head and Shoulders Patterns [ST]Double Top, Double Bottom & Head and Shoulders Patterns
Description in English:
This indicator identifies double top, double bottom, head and shoulders, and inverse head and shoulders patterns on a 4-hour timeframe. It marks the pivot points with circles and outlines the structures with lines, providing clear visual signals of these important reversal patterns.
The colors are customizable for each pattern type.
Detailed Explanation:
Configuration:
Pivot Length: This input defines the period over which pivot points are calculated. The default value is 10.
Circle Color: This input sets the color of the circles that mark the identified double top and double bottom patterns. The default color is blue.
Line Color: This input sets the color of the lines that circle the identified structures of double top and double bottom patterns. The default color is red.
Head and Shoulders Color: This input sets the color of the circles and lines that mark the head and shoulders patterns. The default color is orange.
Inverse Head and Shoulders Color: This input sets the color of the circles and lines that mark the inverse head and shoulders patterns. The default color is purple.
Pattern Identification:
Pivot High and Low: The script uses the pivothigh and pivotlow functions to identify local maxima and minima, essential for detecting the patterns.
Double Top: Identified when there are two pivot highs within the pivot length, and the second high is equal to the first. This pattern typically indicates a potential reversal from an uptrend to a downtrend.
Double Bottom: Identified when there are two pivot lows within the pivot length, and the second low is equal to the first. This pattern typically indicates a potential reversal from a downtrend to an uptrend.
Head and Shoulders: Identified when there is a higher pivot high (head) between two lower pivot highs (shoulders), indicating a potential reversal from an uptrend to a downtrend.
Inverse Head and Shoulders: Identified when there is a lower pivot low (head) between two higher pivot lows (shoulders), indicating a potential reversal from a downtrend to an uptrend.
Drawing Circles and Lines:
Double Top: Marked with blue circles and red lines.
Double Bottom: Marked with blue circles and red lines.
Head and Shoulders: Marked with orange circles and lines.
Inverse Head and Shoulders: Marked with purple circles and lines.
Indicator Benefits:
Pattern Identification: Helps traders identify key reversal patterns (double top, double bottom, head and shoulders, and inverse head and shoulders) on the 4-hour timeframe.
Visual Cues: Provides clear visual signals for these patterns, aiding in making informed trading decisions.
Customizable Parameters: Allows traders to adjust the pivot length, circle color, line color, head and shoulders color, and inverse head and shoulders color to suit different trading strategies and market conditions.
Justification of Component Combination:
Combining pivot point identification with pattern recognition provides a robust method for detecting significant reversal patterns. The visual cues enhance the trader's ability to quickly spot these patterns on the chart.
How Components Work Together:
The script first identifies pivot points based on the specified pivot length.
It then checks for the presence of double top, double bottom, head and shoulders, and inverse head and shoulders patterns using these pivot points.
When a pattern is identified, it is marked with a circle on the chart, and lines are drawn around the structure to provide a clear visual indication of the pattern's presence.
Título: Padrões de Morro Duplo, Fundo Duplo e Ombro-Cabeça-Ombro
Descrição em Português:
Este indicador identifica padrões de morro duplo, fundo duplo, ombro-cabeça-ombro e ombro-cabeça-ombro invertido no gráfico de 4 horas.
Ele marca os pontos de pivô com círculos e contorna as estruturas com linhas, fornecendo sinais visuais claros desses importantes padrões de reversão. As cores são personalizáveis para cada tipo de padrão.
Explicação Detalhada:
Configuração:
Comprimento do Pivô: Este input define o período sobre o qual os pontos de pivô são calculados. O valor padrão é 10.
Cor do Círculo: Este input define a cor dos círculos que marcam os padrões identificados de morro duplo e fundo duplo. A cor padrão é azul.
Cor da Linha: Este input define a cor das linhas que contornam as estruturas identificadas de morro duplo e fundo duplo. A cor padrão é vermelha.
Cor de Ombro-Cabeça-Ombro: Este input define a cor dos círculos e linhas que marcam os padrões de ombro-cabeça-ombro. A cor padrão é laranja.
Cor de Ombro-Cabeça-Ombro Invertido: Este input define a cor dos círculos e linhas que marcam os padrões de ombro-cabeça-ombro invertido. A cor padrão é lilás.
Identificação de Padrões:
Pivô Alto e Baixo: O script usa as funções pivothigh e pivotlow para identificar máximas e mínimas locais, essenciais para detectar os padrões.
Morro Duplo: Identificado quando há duas máximas de pivô dentro do comprimento do pivô, e a segunda máxima é igual à primeira. Este padrão geralmente indica uma reversão potencial de uma tendência de alta para uma tendência de baixa.
Fundo Duplo: Identificado quando há duas mínimas de pivô dentro do comprimento do pivô, e a segunda mínima é igual à primeira. Este padrão geralmente indica uma reversão potencial de uma tendência de baixa para uma tendência de alta.
Ombro-Cabeça-Ombro: Identificado quando há uma máxima de pivô mais alta (cabeça) entre duas máximas de pivô mais baixas (ombros), indicando uma reversão potencial de uma tendência de alta para uma tendência de baixa.
Ombro-Cabeça-Ombro Invertido: Identificado quando há uma mínima de pivô mais baixa (cabeça) entre duas mínimas de pivô mais altas (ombros), indicando uma reversão potencial de uma tendência de baixa para uma tendência de alta.
Desenho de Círculos e Linhas:
Morro Duplo: Marcado com círculos azuis e linhas vermelhas.
Fundo Duplo: Marcado com círculos azuis e linhas vermelhas.
Ombro-Cabeça-Ombro: Marcado com círculos e linhas laranjas.
Ombro-Cabeça-Ombro Invertido: Marcado com círculos e linhas lilás.
Benefícios do Indicador:
Identificação de Padrões: Ajuda os traders a identificar padrões-chave de reversão (morro duplo, fundo duplo, ombro-cabeça-ombro e ombro-cabeça-ombro invertido) no gráfico de 4 horas.
Sinais Visuais: Fornece sinais visuais claros para esses padrões, auxiliando na tomada de decisões informadas.
Parâmetros Personalizáveis: Permite que os traders ajustem o comprimento do pivô, a cor do círculo, a cor da linha, a cor de ombro-cabeça-ombro e a cor de ombro-cabeça-ombro invertido para se adequar a diferentes estratégias de negociação e condições de mercado.
Justificação da Combinação de Componentes:
Combinar a identificação de pontos de pivô com o reconhecimento de padrões fornece um método robusto para detectar padrões de reversão significativos. Os sinais visuais melhoram a capacidade do trader de identificar rapidamente esses padrões no gráfico.
Como os Componentes Funcionam Juntos:
O script primeiro identifica os pontos de pivô com base no comprimento do pivô especificado.
Em seguida, verifica a presença de padrões de morro duplo, fundo duplo, ombro-cabeça-ombro e ombro-cabeça-ombro invertido usando esses pontos de pivô.
Quando um padrão é identificado, ele é marcado com um círculo no gráfico, e linhas são desenhadas ao redor da estrutura para fornecer uma indicação visual clara da presença do padrão.
Moving avg with regMoving avg with reg
A Moving avg with reg is a series of moving averages plotted on the same chart, each with different time periods. This visual tool helps traders identify the underlying trend and potential reversal points in the market. By observing the interaction and spacing between the moving averages, traders can gauge the market's strength and momentum.
Key Points:
Trend Identification: Multiple moving averages help confirm the direction of the trend. If the shorter-period moving averages are above the longer-period ones, it indicates an uptrend, and vice versa.
Reversal Signals: When shorter-period moving averages cross longer-period ones, it may signal a potential trend reversal.
Market Strength: The spacing between the moving averages indicates the strength of the trend. Wider spacing suggests a strong trend, while narrow spacing may indicate a weakening trend.
Regression Line
A Regression Line, specifically the Linear Regression Indicator (LRI), is a statistical tool used to determine the direction and strength of a trend by fitting a straight line to the price data over a specified period. This line minimizes the distance between itself and the actual price points, providing a clear visual representation of the trend.
Key Points:
Trend Direction: The slope of the regression line indicates the direction of the trend. A positive slope suggests an uptrend, while a negative slope indicates a downtrend.
Price Deviations: The distance between the actual price and the regression line can highlight overbought or oversold conditions. Large deviations may suggest a potential correction.
Predictive Power: By extending the regression line, traders can make predictions about future price movements based on the current trend.
Super IndicatorOverview of the Combined Indicator
This combined indicator leverages three major technical analysis tools:
Bollinger Bands
Linear Regression Channels
Scalping Strategy Indicators (RSI, MACD, SMA)
Each of these tools provides unique insights into market conditions, and their integration offers a comprehensive view of price movements, trends, and potential trading signals.
1. Bollinger Bands
Purpose:
Bollinger Bands are used to measure market volatility and identify overbought or oversold conditions.
Components:
Basis (Middle Band): Typically a 20-period Simple Moving Average (SMA).
Upper Band: Basis + (2 * Standard Deviation).
Lower Band: Basis - (2 * Standard Deviation).
Why They Complement:
Bollinger Bands expand and contract based on market volatility. When the bands are narrow, it indicates low volatility and potential for a significant move. Wide bands indicate high volatility. This helps traders gauge the strength of market moves and potential reversals.
2. Linear Regression Channels
Purpose:
Linear Regression Channels identify the overall trend direction and measure deviation from the mean price over a specific period.
Components:
Middle Line (Linear Regression Line): The line of best fit through the price data over a specified period.
Upper and Lower Lines: Channels created by adding/subtracting a multiple of the standard deviation or another deviation measure from the regression line.
Why They Complement:
Linear Regression Channels provide a clear visual representation of the trend direction and the range within which prices typically fluctuate. This can help traders identify trend continuations and reversals, making it easier to spot entry and exit points.
3. Scalping Strategy Indicators
Purpose:
The RSI, MACD, and SMA are used to generate short-term buy and sell signals, which are essential for scalping strategies aimed at capturing quick profits from small price movements.
Components:
RSI (Relative Strength Index): Measures the speed and change of price movements, typically over 14 periods. It helps identify overbought and oversold conditions.
MACD (Moving Average Convergence Divergence): Consists of the MACD line, Signal line, and histogram. It helps identify changes in the strength, direction, momentum, and duration of a trend.
SMA (Simple Moving Average): The average price over a specified period, used to smooth out price data and identify trends.
Why They Complement:
These indicators provide short-term signals that can confirm or refute the signals given by Bollinger Bands and Linear Regression Channels. For example, a buy signal might be more reliable if the price is near the lower Bollinger Band and the MACD crosses above its signal line.
How They Work Together
Scenario 1: Confirming Trend Continuations
Bollinger Bands: Price staying near the upper band suggests a strong uptrend.
Linear Regression Channels: Price staying above the middle line confirms the uptrend.
5-Minute Scalping Strategy: RSI not in overbought territory, and MACD showing bullish momentum confirms continuation.
Scenario 2: Identifying Reversals
Bollinger Bands: Price touching or moving outside the lower band suggests oversold conditions.
Linear Regression Channels: Price at the lower channel line indicates potential support.
5-Minute Scalping Strategy: RSI in oversold territory, and MACD showing a bullish crossover indicates a reversal.
Scenario 3: Volatility Breakouts
Bollinger Bands: Bands contracting indicates low volatility and potential breakout.
Linear Regression Channels: Price moving away from the middle line signals potential breakout direction.
Scalping Strategy: MACD and RSI confirming the breakout direction for entry.
Input Parameters:
Define settings for Bollinger Bands, Linear Regression Channels, and the scalping strategy.
Allow users to customize lengths, multipliers, and colors.
Bollinger Bands Calculation:
Calculate the basis (SMA) and standard deviation.
Derive the upper and lower bands from the basis and standard deviation.
Linear Regression Channel Calculation:
Compute the slope, average, and intercept of the linear regression line.
Calculate deviations to plot upper and lower channel lines.
5-Minute Scalping Strategy:
Calculate RSI, MACD, and SMA for short-term trend analysis.
Define buy and sell conditions based on these indicators.
Plotting and Alerts:
Plot Bollinger Bands and Linear Regression Channels on the chart.
Plot buy and sell signals with shapes.
Set alerts for key conditions like exiting the regression channel bounds and trend switches.
Conclusion
By combining Bollinger Bands, Linear Regression Channels, and a 5-minute scalping strategy, this indicator offers a robust tool for traders. Bollinger Bands provide volatility insights, Linear Regression Channels highlight trend direction and potential reversals, and the scalping strategy offers precise entry and exit points. Together, these tools can enhance a trader's ability to make informed decisions in various market conditions.
Bitcoin Destiny Line Model v1.1The Bitcoin Destiny Line Model
Table of Contents
1. Overview
2. Analytical and Technical Techniques Employed
3. Objectives of the Bitcoin Destiny Line Model
4. Key Technical Components and Functionalities
4.1. Bitcoin Destiny Line and Heatmap
4.2. Halving Cycles Markers
4.3. Dynamic Repricing Rails with Diminishing Volatility Adjustment
4.4. Seasonal Dynamics
4.5. Support and Resistance Zones
4.6. Market Action Indicators
4.7. Cycle Projections
4.8. Heatmap Only
5. Settings
6. Different Strategies to Utilize the Model
6.1. Value-Based Entry Strategy
6.2. Long-Term Position Strategy
6.3. Scaling Out Strategy
6.4. Portfolio Rebalancing Strategy
6.5. Bear Market Strategy
6.6. Short-Term Trading Strategy
7. Recommendations and Disclosures
1. Overview
The Bitcoin Destiny Line Model is a technical analysis toolset designed exclusively for Bitcoin. It integrates a comprehensive suite of analytical methodologies to provide deep insights into Bitcoin's market dynamics focusing on long-term investment strategies.
By analyzing historical data through various technical frameworks, the model helps investors gain insight into the current market structure, cycle dynamics, direction, and trend of Bitcoin, assisting investors and traders with data-driven decision-making.
2. Analytical and Technical Techniques Employed
The model integrates a range of analytical techniques:
Cycle Analysis - Centers on the Bitcoin halving event to anticipate phases within the Bitcoin cycle.
Logarithmic Regression Analysis - Calculates the logarithmic growth of Bitcoin over time.
Standard Deviation - Measures how significantly the price action differs from the long-term logarithmic trend.
Fibonacci Analysis - Identifies support and resistance levels.
Multi-Timeframe Momentum - Analyzes overbought or oversold conditions across multiple periods.
Trendlines - Draws trendlines from expected cycle lows to expected cycle highs extending logarithmic and deviation lines into the future as projection lines.
3. Objectives of the Bitcoin Destiny Line Model
The model is crafted to deliver an empirical framework for Bitcoin investing:
Bitcoin Market Structure - Offers insights into Bitcoin’s market structure.
Identify Value Opportunities and Risk Areas - Pinpoints potential value-entry opportunities and recognizes when the market is over-extended.
Leverage Market Cycles - Utilizes knowledge of Bitcoin’s seasonal dynamics and halving cycles to inform investment strategies.
Mitigate Downside Risk - Provides indicators for potential market corrections, aiding in risk management and avoidance of buying at peak prices.
4. Key Technical Components and Functionalities
4.1. Bitcoin Destiny Line and Heatmap
The cycle low to cycle high line with a risk-based color-coded heatmap serves as a central reference for Bitcoin’s price trajectory.
It emphasizes the long-term trend indicating areas of value in cool colors and areas of risk in warm colors.
4.2. Halving Cycles Markers
Bitcoin halving events are marked on the chart with vertical lines forming anchor points for cycle analysis.
4.3. Dynamic Repricing Rails with Diminishing Volatility Adjustment
Repricing rails based on the long-term logarithmic trend highlight the rails on which Bitcoin's price will reprice up or down.
Adjusts to the diminishing volatility of the asset over time as it matures.
4.4. Seasonal Dynamics
Integrates Bitcoin's inherent seasonal trends to provide additional context for market conditions aligning with broader market analysis.
Understanding Bitcoin’s seasons:
Spring Awakening - The initial recovery phase where the market begins to rebound from a bear market showing early signs of improvement. This is an ideal time for cautious optimism. Investors should consider gradually increasing their positions in Bitcoin, focusing on accumulation as confidence in market recovery grows.
Blossom Boom - A market bottom has been confirmed by now and market interest continues to pick up ahead of the Bitcoin halving. This typically presents a great opportunity for investors to position themselves advantageously ahead of expected price movements. It’s a good time to review and adjust portfolios to align with anticipated trends.
Midsummer Momentum - This phase follows the Bitcoin halving, characterized by a sideways to upward price trend often supported by heightened interest and media coverage. It represents potentially the last opportunity in the cycle for investors to purchase Bitcoin at lower price levels unlikely to be seen again. Investors should closely monitor the market for value buying opportunities to bolster their long-term investment strategies.
Rocket Rise - A phase where Bitcoin prices are likely to surge dramatically driven by a mix of Fear of Missing Out (FOMO) among new investors and widespread media hype. The strategy here is twofold: long-term holders should hold steady to reap maximum gains whereas more speculative investors might look to capitalize on the volatility by taking profits at optimal moments before a potential correction.
Winter Whispers - Following a bull run, the market begins to cool, marked by some investors taking profits and consequently increasing price fluctuations and volatility. During this time, investors should remain vigilant, tightening stop-loss orders to safeguard gains. This phase may be suitable for those looking to liquidate a portion of their long-term investments. However, for an investor to be selling the majority of their Bitcoin holdings is generally not advisable as it could preclude benefiting from potential future appreciations.
Deep Freeze - The market enters a bearish phase with significant price declines and market corrections. It's a period of consolidation and resetting of price levels. The end of this stage could typically be seen as a buying opportunity for the long-term investor. Accumulating Bitcoin during this phase can be advantageous as prices are lower and provide a foundation for significant growth in the next cycle.
4.5. Support and Resistance Zones
Calculates key levels that inform stop-loss placements and trading size decisions enhancing trading strategy around the Bitcoin Destiny Line.
4.6. Market Action Indicators
Suggests potential trading actions for different market phases aiding traders in identifying investment/trading opportunities.
Risk Indicator - Signals when prices are extremely over-extended helping to avoid entries during potential peak valuations.
4.7. Cycle Projections
Extends repricing levels into the future providing a visual forecast of expected price movements and enhancing strategic planning capabilities.
Cycle-High Price Projection Range - Provides a probabilistic range for upcoming cycle peaks based on historical trends and current market analysis.
4.8. Heatmap Only
It is also possible to plot the heatmap only as a background or as a bar in a second indicator.
4.9. Complete Visual View
A complete view of all key elements switched on the model.
5. Settings
Users can select to only show specific elements or all elements of the model.
They can set the sensitivity of some of the model elements and adjust certain view settings.
6. Different Strategies to Utilize the Model
The following strategies are enabled by the Bitcoin Destiny Line model:
6.1. Value-Based Entry Strategy
Investors can optimize their investment strategy by deploying investable cash either as a lump sum or on a dollar-cost averaging basis upon the display of a value indicator (Up-Triangles) which signals the highest probability for value entries.
6.2. Long-Term Position Strategy
As an alternative, investors may prefer to continue deploying investable funds while cooler colors (green or blue) are displayed on the value map, indicating favorable conditions for long-term positions.
6.3. Scaling Out Strategy
Investors may choose to scale out some of their investment upon the display of a risk indicator (circles) reducing exposure to potential downturns.
6.4. Portfolio Rebalancing Strategy
A sound strategy can also be to follow a portfolio rebalancing approach by deploying available investable cash upon the display of a value indicator. Rebalance the portfolio to maintain 25% in cash upon the display of a risk indicator. Adjust this ratio as subsequent risk indicators are triggered, deploying available cash upon future value signals.
6.5. Bear Market Strategy
In a bear market, traders may seek short positions upon the display of the Continued Downward Momentum indicator (Down Triangles) capitalizing on declining market trends.
6.6. Short-Term Trading Strategy
Traders can use hourly or 4-hourly data along with the daily Price Rails and Heatmap Bar for short-term positions. They may incorporate other preferred indicators such as RSI for entry/exit decisions.
7. Recommendations and Disclosures
Investors are recommended to take a prudent approach. It is not recommended for investors to scale out completely or significantly reduce the largest portion of their long-term Bitcoin positions in hopes of buying back at lower prices unless they have a compelling reason to do so. The future market conditions may not replicate past opportunities making this strategy uncertain. However, scaling out a smaller portion such as 25% can offer a high potential for an asymmetric risk-reward ratio. This approach is likely to provide a higher risk-adjusted return compared to traditional dollar-cost averaging or random lump sum adjustments.
The Bitcoin Destiny Line Model leverages 13.5 years of available price data across four complete Bitcoin market cycles.
While each additional cycle enriches the model's robustness and enhances the reliability of its forecasts, it is crucial for users to understand that historical trends are indicative of probable future directions and potential price ranges. Users should be cognizant that past performance is not a definitive predictor of future results and should not be the sole basis for investment decisions.
Moving Average Cross Probability [AlgoAlpha]Moving Average Cross Probability 📈✨
The Moving Average Cross Probability by AlgoAlpha calculates the probability of a cross-over or cross-under between the fast and slow values of a user defined Moving Average type before it happens, allowing users to benefit by front running the market.
✨ Key Features:
📊 Probability Histogram: Displays the Probability of MA cross in the form of a histogram.
🔄 Data Table: Displays forecast information for quick analysis.
🎨 Customizable MAs: Choose from various moving averages and customize their length.
🚀 How to Use:
🛠 Add Indicator: Add the indicator to favorites, and customize the settings to suite your trading style.
📊 Analyze Market: Watch the indicator to look for trend shifts early or for trend continuations.
🔔 Set Alerts: Get notified of bullish/bearish points.
✨ How It Works:
The Moving Average Cross Probability Indicator by AlgoAlpha determines the probability by looking at a probable range of values that the price can take in the next bar and finds out what percentage of those possibilities result in the user defined moving average crossing each other. This is done by first using the HMA to predict what the next price value will be, a standard deviation based range is then calculated. The range is divided by the user defined resolution and is split into multiple levels, each of these levels represent a possible value for price in the next bar. These possible predicted values are used to calculate the possible MA values for both the fast and slow MAs that may occur in the next bar and are then compared to see how many of those possible MA results end up crossing each other.
Stay ahead of the market with the Moving Average Cross Probability Indicator AlgoAlpha! 📈💡
Cipher Mean ReversionThe Cipher Mean Reversion Indicator is an advanced trading tool that dynamically adjusts to market volatility to provide optimal entry and exit signals. This indicator is designed to identify significant deviations from a calculated mean, signaling potential reversal points where prices might revert to their average.
Core Functionality:
Cipher Mean Reversion uses an Exponential Moving Average (EMA) as the foundation for its mean price calculation. What sets Cipher apart is its dynamic adjustment mechanism that adapts the sensitivity of the EMA based on a volatility index. This index assesses both the rate and magnitude of price changes over a user-specified period, utilizing standard deviation and average true range calculations to gauge market volatility.
Unique Features:
Dynamic Sensitivity Adjustment: The sensitivity of our mean reversion detection changes in real-time, driven by our proprietary volatility index. This index is calculated using a combination of standard deviation and average true range, providing a robust measure of market volatility that informs the adjustment of our signal thresholds.
Adaptive Signal Thresholds: Instead of static buy and sell thresholds, Cipher uses thresholds that adapt to ongoing market conditions. These thresholds expand during periods of high volatility to reduce the risk of false signals and contract during quieter market conditions to capture smaller price reversals.
Signal Generation:
Buy Signals: Generated when the price falls significantly below the dynamically adjusted lower threshold, indicating an oversold condition ripe for reversal.
Sell Signals: Occur when the price exceeds the dynamically adjusted upper threshold, suggesting an overbought condition likely to revert.
Usage Tips:
Parameter Customization: Users can adjust the lookback period for the volatility assessment and the length of the EMA to better fit different assets and trading styles.
Complementary Analysis: For enhanced trading decisions, combine the Cipher Mean Reversion with other analytical tools such as volume indicators or momentum oscillators.
Risk Management: Employ risk management strategies, including predefined stop-loss and take-profit levels, tailored to the volatility insights provided by the indicator.
Originality and Usefulness:
The Cipher Mean Reversion Indicator offers a novel approach to mean reversion analysis by integrating real-time volatility adaptations into the signal generation process. This methodology ensures that the indicator remains highly responsive to changing market dynamics, providing traders with signals that are both timely and relevant.
Intended Use:
Cipher is versatile and can be used across various asset classes, including stocks, forex, and commodities. It is ideal for traders who require an indicator that can adapt to different market environments, from fast-moving markets to more stable conditions.
Cosine Kernel Regressions [QuantraSystems]Cosine Kernel Regressions
Introduction
The Cosine Kernel Regressions indicator (CKR) uses mathematical concepts to offer a unique approach to market analysis. This indicator employs Kernel Regressions using bespoke tunable Cosine functions in order to smoothly interpret a variety of market data, providing traders with incredibly clean insights into market trends.
The CKR is particularly useful for traders looking to understand underlying trends without the 'noise' typical in raw price movements. It can serve as a standalone trend analysis tool or be combined with other indicators for more robust trading strategies.
Legend
Fast Trend Signal Line - This is the foreground oscillator, it is colored upon the earliest confirmation of a change in trend direction.
Slow Trend Signal Line - This oscillator is calculated in a similar manner. However, it utilizes a lower frequency within the cosine tuning function, allowing it to capture longer and broader trends in one signal. This allows for tactical trading; the user can trade smaller moves without losing sight of the broader trend.
Case Study
In this case study, the CKR was used alongside the Triple Confirmation Kernel Regression Oscillator (KRO)
Initially, the KRO indicated an oversold condition, which could be interpreted as a signal to enter a long position in anticipation of a price rebound. However, the CKR’s fast trend signal line had not yet confirmed a positive trend direction - suggesting that entering a trade too early and without confirmation could be a mistake.
Waiting for a confirmed positive trend from the CKR proved beneficial for this trade. A few candles after the oversold signal, the CKR's fast trend signal line shifted upwards, indicating a strong upward momentum. This was the optimal entry point suggested by the CKR, occurring after the confirmation of the trend change, which significantly reduced the likelihood of entering during a false recovery or continuation of the downtrend.
This is one of the many uses of the CKR - by timing entries using the fast signal line , traders could avoid unnecessary losses by preventing premature entries.
Methodology
The methodology behind CKR is a multi-layered approach and utilizes many ‘base’ indicators.
Relative Strength Index
Stochastic Oscillator
Bollinger Band Percent
Chande Momentum Oscillator
Commodity Channel Index
Fisher Transform
Volume Zone Oscillator
The calculated output from each indicator is standardized and scaled before being averaged. This prevents any single indicator from overpowering the resulting signal.
// ╔════════════════════════════════╗ //
// ║ Scaling/Range Adjustment ║ //
// ╚════════════════════════════════╝ //
RSI_ReScale (_res ) => ( _res - 50 ) * 2.8
STOCH_ReScale (_stoch ) => ( _stoch - 50 ) * 2
BBPCT_ReScale (_bbpct ) => ( _bbpct - 0.5 ) * 120
CMO_ReScale (_chandeMO ) => ( _chandeMO * 1.15 )
CCI_ReScale (_cci ) => ( _cci / 2 )
FISH_ReScale (_fish1 ) => ( _fish1 * 30 )
VZO_ReScale (_VP, _TV ) => (_VP / _TV) * 110
These outputs are then fed into a customized cosine kernel regression function, which smooths the data, and combines all inputs into a single coherent output.
// ╔════════════════════════════════╗ //
// ║ COSINE KERNEL REGRESSIONS ║ //
// ╚════════════════════════════════╝ //
// Define a function to compute the cosine of an input scaled by a frequency tuner
cosine(x, z) =>
// Where x = source input
// y = function output
// z = frequency tuner
var y = 0.
y := math.cos(z * x)
Y
// Define a kernel that utilizes the cosine function
kernel(x, z) =>
var y = 0.
y := cosine(x, z)
math.abs(x) <= math.pi/(2 * z) ? math.abs(y) : 0. // cos(zx) = 0
// The above restricts the wave to positive values // when x = π / 2z
The tuning of the regression is adjustable, allowing users to fine-tune the sensitivity and responsiveness of the indicator to match specific trading strategies or market conditions. This robust methodology ensures that CKR provides a reliable and adaptable tool for market analysis.
Linear Regression InterceptLinear Regression Intercept (LRI) is a statistical method used to forecast future values based on past data. Financial markets frequently employ it to identify the underlying trend and determine when prices are overextended. Linear regression utilizes the least squares method to create a trendline by minimizing the distance between observed price data and the line. The LRI indicator calculates the intercept of this trendline for each data point, providing insights into price trends and potential trading opportunities.
Calculation and Interpretation of the LRI
The linear regression intercept is calculated using the following formula:
LRI = Y - (b * X)
Where Y represents the dependent variable (price), b is the slope of the regression line, and X is the independent variable (time). To determine the slope b, you can use the formula:
b = Σ / Σ(X - X_mean)^2
Once you have computed the LRI, it can be interpreted as the point at which the regression line intersects the Y-axis (price) when the independent variable (time) is zero. A positive LRI value indicates an upward trend, while a negative value suggests a downward trend. Traders can adjust the parameters of the LRI by modifying the period over which the linear regression is computed, which can impact the indicator’s sensitivity to recent price changes.
How to Use the LRI in Trading
To effectively use the LRI in trading, traders should consider the following:
Understanding the signals generated by the technical indicator: A rising LRI suggests an upward trend, whereas a falling LRI indicates a downward trend. Traders may use this information to help determine the market’s direction and identify reversals.
Combining the technical indicator with other indicators: The LRI can be used in conjunction with other technical indicators, such as moving averages, the Relative Strength Index (RSI), or traditional linear regression lines, to obtain a more comprehensive view of the market. In the case of traditional linear regression lines, the LRI helps traders identify the starting point of the trend, providing additional context to the overall trend direction.
Using the technical indicator for entry and exit signals: When the LRI crosses above or below a specific threshold, traders may consider it a potential entry or exit point. For example, if the LRI crosses above zero, it might signal a possible buying opportunity.
Linear Regression Trendline - Log, R-Squared, Dynamic RangeDescription:
This Pine Script tool is specifically crafted for in-depth technical analysis, integrating a logarithmic regression trendline with standard deviation (STDV) channel bands and the R-squared coefficient of determination. This sophisticated tool is tailored to provide a nuanced perspective on trend dynamics and volatility, particularly suitable for markets where changes are exponential rather than linear.
Key Features:
Logarithmic Regression Trendline: Uniquely employs a logarithmic approach to regression analysis, ideal for data that grows exponentially. This method emphasizes proportional changes and offers a more accurate fit for certain types of financial data.
STDV Channel Bands: Incorporates channel bands set at one or more standard deviations from the regression line. These bands offer insights into the volatility and relative price movements, aiding in the identification of potential buy and sell zones.
R-squared Coefficient: This tool differentiates itself by focusing on the R-squared coefficient of determination rather than Pearson's correlation coefficient. The R-squared value measures the proportion of variance in the dependent variable that is predictable from the independent variable, offering a more precise evaluation of the trendline’s effectiveness.
Flexible Period Settings: Unlike traditional tools, this script allows users to specify exact start and end points for the trendline analysis, either through direct date selection or by choosing specific bars. This flexibility facilitates precise modifications and adaptations to various analytical needs.
Interactive Usability: Features interactive capabilities allowing users to manually adjust the coordinates of the trendline’s start and end points during active sessions. This feature ensures that analysts can dynamically respond to market movements and adjust their analyses in real time.
Logarithmic Scaling: Specifically designed for logarithmic scaling, this tool is adept at handling data where growth rates are multiplicative, making it exceptionally useful in sectors like cryptocurrencies and rapidly growing stocks.
Usage:
This tool is ideal for traders and financial analysts who deal with high growth markets or any datasets where growth is exponential rather than linear. The focus on the R-squared coefficient enhances its utility by providing a critical assessment tool for evaluating the predictive strength and reliability of trends under logarithmic transformations.
Support and Resistance Polynomial Regressions | Flux ChartsOverview
This script is a dynamic form of support and resistance. Support and resistance plots areas where price commonly reverses its direction or “pivots”. A resistance line for instance is typically found by locating a price point where multiple high pivots occur. A high pivot is where a price increases for a number of bars then decreases for a number of bars creating a local maximum. This script takes the high pivots points but rather than using a horizontal line a polynomial regressed line is used.
It is common to see consecutive higher highs or lower lows or a mixed pattern of both so a classical support or resistance line can be insufficient. This script lets users find a polynomial of best fit for high pivots and low pivots creating a resistance and support line respectively.
Here are the same two sets of high and low pivots the first using linear regressed support and resistance lines the second using quadratic.
Here are the predicted results:
The Quadratic regression gives a much more accurate prediction of future pivot areas and the increase in variance of the data.
Quick Start
Add the script to the chart. Then select a left point and right point on the chart. This will be the data the script uses to calculate a best fit resistance line. Then select another left and right point that will be for the support line.
Now you can confirm your basic settings like the type of regression: Linear Regression, Quadratic Regression, Cubic Regression or Custom Regression.
After confirming the lines will be plotted on the graph.
Custom Polynomial Regression Setting
Polynomials follow the form:
The degree of a polynomial is the highest exponent in the equation. For example the polynomial ax^2 + bx + c has a degree of 2.
Here are the default polynomial options and their equivalent custom polynomial entry:
This allows us to create regressions with a custom number of inflection points. An inflection point is a point where the graph changes from concave up to concave down or vice versa. The maximum number of inflection points a polynomial can have is the degree - 2. Having multiple inflection points in our regression allows for having a closer fit minimizing error.
It should be noted that having a closer fit is not inherently better; this can cause overfitting. Overfitting is when a model is too closely fit to the training data and not generalizable to the population data.
panpanXBT BTC Risk MetricThis is the Bitcoin Risk Metric. Inspired by many power law analysts, this script assigns a risk value to the price of Bitcoin. The model uses regression of 'fair value' data to assign risk values and residual analysis to account for diminishing returns as time goes on. This indicator is for long-term investors looking to maximise their returns by highlighting periods of under and overvaluation for Bitcoin.
This is a companion script for panpanXBT BTC Risk Metric Oscillator . Use this indicator in tandem to achieve the view shown in the chart above.
Please note, this indicator will only work on BTCUSD charts but will work on any timeframe.
DISCLAIMER: The product on offer presents a novel way to view the price history of Bitcoin. It should not be relied upon solely to inform financial decisions. What you do with the information is entirely up to you. Please thoroughly consider your decisions and consult many different sources to make sure you're making the most well-informed decision.
### How to Interpret
The risk scale goes from 0 to 100,
Blue - 0 being low risk, and
Red - 100 being high risk.
Low risk values represent periods of historical undervaluation, while high values represent overvaluation. These periods are marked by a colourscale from blue to red.
### Use Cases and Best Practice
A dynamic DCA strategy would work best with this indicator, whereby an amount of capital is deployed/retired on a regular basis. This amount deployed grows or shrinks depending on the proximity of the risk level to the extremes (0 and 100).
Let's say you have a maximum of $500 to deploy per month.
When risk is between 0 and 10, you could deploy the full $500.
When risk is between 10 and 20, you could deploy $400.
When risk is between 20 and 30, you could deploy $300.
When risk is between 30 and 40, you could deploy $200.
When risk is between 40 and 50, you could deploy $100.
Conversely, when risk is above 50, you could:
Sell 1/15th of your BTC stack when risk is between 50 and 60.
Sell 2/15th of your BTC stack when risk is between 60 and 70.
Sell 3/15th of your BTC stack when risk is between 70 and 80.
Sell 4/15th of your BTC stack when risk is between 80 and 90.
Sell 5/15th of your BTC stack when risk is between 90 and 100.
This framework allows the user to accumulate during periods of undervaluation and derisk during periods of overvaluation, capturing returns in the process.
In contrast, simply setting limit orders at 0 and 100 would yield the absolute maximum returns, however there is no guarantee price will reach these levels (see 2018 where the bear market bottomed out at 20 risk, or 2021 where price topped out at 97 risk).
### Caveats
"All models are wrong, some are useful"
No model is perfect. No model can predict exactly what price will do as there are too many factors at play that determine the outcome. We use models as a guide to make better-informed decisions, as opposed to shooting in the dark. This model is not a get rich quick scheme, but rather a tool to help inform decisions should you consider investing. This model serves to highlight price extremities, which could present opportune times to invest.
### Conclusion
This indicator aims to highlight periods of extreme values for Bitcoin, which may provide an edge in the market for long-term investors.
Thank you for your interest in this indicator. If you have any questions, recommendations or feedback, please leave a comment or drop me a message on TV or twitter. I aim to be as transparent as possible with this project, so please seek clarification if you are unsure about anything.
Kaspa Power LawSimple Power Law Indicator for Kaspa with addition of adjustable bands above and below the Power Law Price. Best used on Logarithmic view on Daily Time Frame.
Monte Carlo Shuffled Projection [LuxAlgo]The Monte Carlo Shuffled Projection tool randomly simulates future price points based on historical bar movements made within a user-selected window.
The tool shows potential paths price might take in the future, as well as highlighting potential support/resistance levels.
Note that simulations and their resulting elements are subject to slight changes over time.
🔶 USAGE
By randomly simulating bar movements, a range is developed of potential price action which could be utilized to locate future price development as well as potential support/resistance levels.
Performing a large number of simulations and taking the average at each step will converge toward the result highlighted by the "Average Line", and can point out where the price might develop assuming the trend and amount of volatility persist.
Current closing price + Sum of changes in the calculation window)
This constraint will cause the simulations to always display an endpoint consistent with the current lookback's slope.
While this may be helpful to some traders, this indicator includes an option to produce a less biased range as seen below:
🔶 DETAILS
The Monte Carlo Shuffled Projection tool creates simulations based on the most recent prices within a user-set window. Simulations are done as follows:
Collect each bar's price changes in the user-set window.
Randomize the order of each change in the window.
Project the cumulative sum of the shuffled changes from the current closing price.
Collect data on each point along the way.
This is the process for the Default calculation, for the 'Randomize Direction' calculation, when added onto the front for every other change, the value is inverted, creating the randomized endpoints for each simulation.
The script contains each simulation's data for that bar with a maximum of 1000 simulations.
To get a glimpse behind the scenes each simulation (up to 99) can be viewed using the 'Visualize Simulations' Options as seen below.
Because the script holds the full simulation data, the script can also do calculations on this data, such as calculating standard deviations.
In this script the Standard deviation lines are the average of all standard deviations across the vertical data groups, this provides a singular value that can be displayed a distance away from the simulation center line.
🔶 SETTINGS
Color and Toggle Options are Provided throughout.
Lookback: Sets the number of Bars to include in calculations.
Simulation Count: Sets the number of randomized simulations to calculate. (Max 1000)
Randomize Direction: See Details Above. Creates a more 'Normalized' Distribution
Visualize Simulations: See Details Above. Turns on Visualizations, and colors are randomly generated. Visualized max does not cap the calculated max. If 1000 simulations are used, the data will be from 1000 simulations, however only the last 99 simulations will be visualized.
Standard Deviation Multiplier: Sets the multiplier to use for the Standard Deviation distance away from the center line.
Multiple Non-Linear Regression [ChartPrime]This Pine Script indicator is designed to perform multiple non-linear regression analysis using four independent variables: close, open, high, and low prices. Here's a breakdown of its components and functionalities:
Inputs:
Users can adjust several parameters:
Normalization Data Length: Length of data used for normalization.
Learning Rate: Rate at which the algorithm learns from errors.
Smooth?: Option to smooth the output.
Smooth Length: Length of smoothing if enabled.
Define start coefficients: Initial coefficients for the regression equation.
Data Normalization:
The script normalizes input data to a range between 0 and 1 using the highest and lowest values within a specified length.
Non-linear Regression:
It calculates the regression equation using the input coefficients and normalized data. The equation used is a weighted sum of the independent variables, with coefficients adjusted iteratively using gradient descent to minimize errors.
Error Calculation:
The script computes the error between the actual and predicted values.
Gradient Descent: The coefficients are updated iteratively using gradient descent to minimize the error.
// Compute the predicted values using the non-linear regression function
predictedValues = nonLinearRegression(x_1, x_2, x_3, x_4, b1, b2, b3, b4)
// Compute the error
error = errorModule(initial_val, predictedValues)
// Update the coefficients using gradient descent
b1 := b1 - (learningRate * (error * x_1))
b2 := b2 - (learningRate * (error * x_2))
b3 := b3 - (learningRate * (error * x_3))
b4 := b4 - (learningRate * (error * x_4))
Visualization:
Plotting of normalized input data (close, open, high, low).
The indicator provides visualization of normalized data values (close, open, high, low) in the form of circular markers on the chart, allowing users to easily observe the relative positions of these values in relation to each other and the regression line.
Plotting of the regression line.
Color gradient on the regression line based on its value and bar colors.
Display of normalized input data and predicted value in a table.
Signals for crossovers with a midline (0.5).
Interpretation:
Users can interpret the regression line and its crossovers with the midline (0.5) as signals for potential buy or sell opportunities.
This indicator helps users analyze the relationship between multiple variables and make trading decisions based on the regression analysis. Adjusting the coefficients and parameters can fine-tune the model's performance according to specific market conditions.
Volume-Supported Linear Regression Trend Modified StrategyHi everyone, this will be my first published script on Tradingview, maybe more to come.
For quite some time I have been looking for a script that performs no matter if price goes up or down or sideways. I believe this strategy comes pretty close to that. Although nowhere near the so called "buy&hold equity" of BTC, it has produced consistent profits even when price goes down.
It is a strategy which seems to work best on the 1H timeframe for cryptocurrencies.
Just by testing different settings for SL and TP you can customize it for each pair.
THE STRATEGY:
Basically, I used the Volume Supported Linear Regression Trend Model that LonesomeTheBlue has created and modified a few things such as entry and exit conditions. So all credits go to him!
LONG ENTRY: When there is a bullish cross of the short term trend (the histogram/columns), while the long term trend is above 0 and rising.
SHORT ENTRY: When there is a bearish cross (green to red) of the short-term trend (the histogram/columns), while the long term trend is beneath 0 and decreasing.
LONG EXIT: Bearish crossover of short-term trend while long term trend is below 0
SHORT EXIT: Bullish crossover of short-term trend while long term trend is above 0
Combining this with e.g. a SL of 2% and a TP of 20% (as used in my backtesting), combined with pyramiding and correct risk management, it gives pretty consistent results.
Be aware, this is only for educational purpose and in no means financial advise. Past results do not guarantee future results. This strategy can lose money!
Enjoy :)
PS: It works not only on BTC of course, works even better on some other major crypto pairs. I'll leave it to you to find out which ones ;)
MomentumQ SniperMomentumQ Sniper Indicator
The MomentumQ Sniper is an advanced Tool, designed to provide traders with multi-dimensional market insights. This indicator integrates the Moving Average Reversal Indicator (MARI), Price Countdown logic for reversal detection, and the Nadaraya-Watson Envelope (NWE) for identifying overbought and oversold conditions.
Features:
Moving Average Reversal Indicator (MARI): Calculates and normalizes the distance between the price and a 200-period SMA to signal potential reversals.
Price Countdown: Offers sequence-based analysis to pinpoint potential reversal points through exhaustive price movement tracking.
Nadaraya-Watson Envelope (NWE): Utilizes advanced smoothing to create dynamic envelopes around a central moving line, aiding in the detection of market extremes.
Visualization and Alerts:
Visual Indicators: Plots key elements such as the SMA, MARI distance, and Nadaraya-Watson envelopes, each color-coded to enhance clarity—green for bullish setups and red for bearish setups.
Alert System: Integrates real-time alerts for crucial signals, including bullish and bearish crossovers as identified by MARI and Price Countdown logic, enabling timely and informed trading decisions.
How to Use:
The MomentumQ Sniper is ideal for traders who require detailed and multi-dimensional analysis tools. It effectively combines trend analysis, reversal prediction, and volatility insights into one unified strategy, making it suitable for a variety of market conditions and trading time frames.
Disclaimer:
The MomentumQ Sniper is designed as a supplementary tool for market analysis. It does not guarantee profits and should be used as part of a diversified trading strategy. Past performance is not indicative of future results, and all trading involves risks.
Educational Value:
Beyond aiding in trade execution, this indicator enhances the trader's understanding of market dynamics through advanced technical analysis techniques, providing valuable educational insights into market behavior.
Long-Term Trend DetectorThe Long-Term Trend Detector is a powerful tool designed to identify sustainable trends in price movements, offering significant advantages for traders and investors.
Key Benefits:
1. Projection Confidence: This indicator leverages Pearson's R, a statistical measure that indicates the strength of the linear relationship between price and trend projection. A higher Pearson's R value reflects a stronger correlation, providing increased confidence in the identified trend direction.
2. Adaptive Channel Detection: By calculating deviations and correlations over varying lengths, the indicator dynamically adapts to changing market conditions. This adaptive nature ensures robust trend detection across different time frames.
3. Visual Clarity: The indicator visually displays long-term trend channels on the chart, offering clear insights into potential price trajectories. This visualization aids in decision-making by highlighting periods of strong trend potential.
4. Flexibility and Customization: Users can customize parameters such as deviation multiplier, line styles, transparency levels, and display preferences. This flexibility allows traders to tailor the indicator to their specific trading strategies and preferences.
5. Historical Analysis: The indicator can analyze extensive historical data (up to 5000 bars back) to provide comprehensive trend insights. This historical perspective enables users to assess trends over extended periods, enhancing strategic decision-making.
In summary, the Long-Term Trend Detector empowers traders with accurate trend projections and confidence levels, facilitating informed trading decisions. Its adaptive nature and customizable features make it a valuable tool for identifying and capitalizing on long-term market trends.
