Kaufman Moving Average Adaptive (KAMA) Everyone wants a short-term, fast trading trend that works without large
losses. That combination does not exist. But it is possible to have fast
trading trends in which one must get in or out of the market quickly, but
these have the distinct disadvantage of being whipsawed by market noise
when the market is volatile in a sideways trending market. During these
periods, the trader is jumping in and out of positions with no profit-making
trend in sight. In an attempt to overcome the problem of noise and still be
able to get closer to the actual change of the trend, Kaufman developed an
indicator that adapts to market movement. This indicator, an adaptive moving
average (AMA), moves very slowly when markets are moving sideways but moves
swiftly when the markets also move swiftly, change directions or break out of
a trading range.
Average
DAPD - Daily Average Price Delta This indicator is similar to Bollinger Bands. It based on DAPD - Daily
Average Price Delta. DAPD is based upon a summation for each of the
highs (hod) for the 21 days prior to today minus the summation for
each of the lows (lod) for the last 21 days prior to today. The result
of this calculation would then be divided by 21.
T3 3 Averages This function is an Pine version of the moving average described in
the January, 1998 issue of S&C magazine, p.57, "Smoothing Techniques
for More Accurate Signals", by Tim Tillson. It is translated from the
MetaStock code presented in the article. The function uses a version
of the XAverage, written by me, which allows variables as inputs.
The most popular method of interpreting a moving average is to compare
the relationship between a moving average of the security's price with
the security's price itself (or between several moving averages).
T3 Average This indicator plots the moving average described in the January, 1998 issue
of S&C, p.57, "Smoothing Techniques for More Accurate Signals", by Tim Tillson.
This indicator plots T3 moving average presented in Figure 4 in the article.
T3 indicator is a moving average which is calculated according to formula:
T3(n) = GD(GD(GD(n))),
where GD - generalized DEMA (Double EMA) and calculating according to this:
GD(n,v) = EMA(n) * (1+v)-EMA(EMA(n)) * v,
where "v" is volume factor, which determines how hot the moving average’s response
to linear trends will be. The author advises to use v=0.7.
When v = 0, GD = EMA, and when v = 1, GD = DEMA. In between, GD is a less aggressive
version of DEMA. By using a value for v less than1, trader cure the multiple DEMA
overshoot problem but at the cost of accepting some additional phase delay.
In filter theory terminology, T3 is a six-pole nonlinear Kalman filter. Kalman
filters are ones that use the error — in this case, (time series - EMA(n)) —
to correct themselves. In the realm of technical analysis, these are called adaptive
moving averages; they track the time series more aggres-sively when it is making large
moves. Tim Tillson is a software project manager at Hewlett-Packard, with degrees in
mathematics and computer science. He has privately traded options and equities for 15 years.
