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Weighted Least Squares Moving AverageLinearly Weighted Ordinary Least Squares Moving Regression
aka Weighted Least Squares Moving Average -> WLSMA
^^ called it this way just to for... damn, forgot the word
Totally pwns LSMA for some purposes here's why (just look up):
- 'realistically' the same smoothness;
- less lag;
- less overshoot;
- more or less same computationally intensive.
"Pretty cool, huh?", Bucky Roberts©, thenewboston
Now, would you please (just look down) and see the comparison of impulse & step responses:
Impulse responses
Step responses
Ain't it beautiful?
"Motivation behind the concept & rationale", by gorx1
Many been trippin' applying stats methods that require normally distributed data to time series, hence all these B*ll**** Bands and stuff don't really work as it should, while people blame themselves and buy snake oil seminars bout trading psychology, instead of using proper tools. Price... Neither population nor the samples are neither normally nor log-normally distributed. So we can't use all the stuff if we wanna get better results. I'm not talking bout passing each rolling window to a stat test in order to get the proper descriptor, that's the whole different story.
Instead we can leverage the fact that our data is time-series hence we can apply linear weighting, basically we extract another info component from the data and use it to get better results. Volume, range weighting don't make much sense (saying that based on both common sense and test results). Tick count per bar, that would be nice tho... this is the way to measure "intensity". But we don't have it on TV unfortunately.
Anyways, I'm both unhappy that no1 dropped it before me during all these years so I gotta do it myself, and happy that I can give smth cool to every1
Here is it, for you.
P.S.: the script contains standalone functions to calculate linearly weighted variance, linearly weighted standard deviation, linearly weighted covariance and linearly weighted correlation.
Good hunting Indicator
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Strategy
Papercuts Dynamic EMA - Relative Parameter FunctionThe goal of this is to link two parameters of different known low and high values so one affects the other.
In this case, I want to link Relative Volume to the length of an EMA, so it responds faster in times of high volume.
As an animator I am used to linking values in this way with Maya using a set driven key, took some work to figure it out in pine.
Looking up this concept, it has a few names, Relative values, linear interpolation, or rescale values.
Thanks to pinecoders for writing the EMA funciton that can accept length variables!
Here's a quick look at the root function to link the two values.
f_relativeVal(_source, in_bot, in_top, out_bot, out_top) =>
// float _source: input signal
// float in_bot : minimum range of input signal.
// float in_top : maximum range of input signal.
// float out_bot : minimum range of output signal.
// float out_top : maximum range of output signal.
clampSrc = _source > in_top ? in_top : _source < in_bot ? in_bot : _source //claps source to create a controlled range
//relInput = (clampSrc - in_bot) / (in_top - in_bot) * 100
inDiffIncrement = (in_top - in_bot)
outDiffIncrement = (out_top - out_bot)
out_bot + (clampSrc - in_bot) * outDiffIncrement / inDiffIncrement // rescale input range to output range
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[A7] Fibonacci EMAs (8,21,34,55,89,233) Fibonacci EMAs (8,21,34,55,89,233)
Fibonacci Exponential Moving Averages
8 - aqua
21 - green
34 - blue
55 - yellow
89 - purple
233 - red Indicator
Moving Average Ribbon [TheBearFighter]
This code was written using:
•Pine Script Coding Conventions.
This script provides a very useful tool for new community users and professionals. It puts at your disposal a Moving Average Ribbon by hand to graph and easily find the ones with the highest performance. The creation of this script was motivated because in free PulseWire accounts there is a limit of 3 indicators by chart, and with this tool you can draw up to 32 MA's at the same time!
Choose one of 10 types of MA´s:
•KAMA Kaufman's moving average.
•HULL Hull moving average.
•TEMA Triple exponencial moving average.
•LSMA Least square moving average.
•DEMA Double exponencial moving average.
•ALMA Arnaud Legoux moving average.
•WMA Weighted moving average
•EMA Exponencial moving average.
•VWMA Volume Weighted moving average.
•SMA Simple moving average.
Use the tooltips to know the lengths of MA´s.
A main characteristic of the script is that the lengths are in days but when changing the lowest timeframes, the same daily resolution is maintained. This gives us extreme precision in intraday timeframes, e.g 30 minutes.
Once this is understood, we can turning the MA´s on/off, and changing the timeframe to our liking.
Available timeframes: M, W, D, 4H, 1H, 30m, 15m, 5m.
Also the MA´s are colored for easy visualization and know if they grow or decrease.
Thank´s to @midtownsk8rguy to let me know more about HEX colors.
Thank´s to @HPotter for his KAMA.
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