HEMA - A Fast And Efficient Estimate Of The Hull Moving AverageIntroduction
The Hull moving average (HMA) developed by Alan Hull is one of the many moving averages that aim to reduce lag while providing effective smoothing. The HMA make use of 3 linearly weighted (WMA) moving averages, with respective periods p/2 , p and √p , this involve three convolutions, which affect computation time, a more efficient version exist under the name of exponential Hull moving average (EHMA), this version make use of exponential moving averages instead of linearly weighted ones, which dramatically decrease the computation time, however the difference with the original version is clearly noticeable.
In this post an efficient and simple estimate is proposed, the estimation process will be fully described and some comparison with the original HMA will be presented.
This post and indicator is dedicated to LucF
Estimation Process
Estimating a moving average is easier when we look at its weights (represented by the impulse response), we basically want to find a similar set of weights via more efficient calculations, the estimation process is therefore based on fully understanding the weighting architecture of the moving average we want to estimate.
The impulse response of an HMA of period 20 is as follows :
We can see that the first weights increases a bit before decaying, the weights then decay, cross under 0 and increase again. More recent closing price values benefits of the highest weights, while the oldest values have negatives ones, negative weighting is what allow to drastically reduce the lag of the HMA. Based on this information we know that our estimate will be a linear combination of two moving averages with unknown coefficients :
a × MA1 + b × MA2
With a > 0 and b < 0 , the lag of MA1 is lower than the lag of MA2 . We first need to capture the general envelope of the weights, which has an overall non-linearly decaying shape, therefore the use of an exponential moving average might seem appropriate.
In orange the impulse response of an exponential moving average of period p/2 , that is 10. We can see that such impulse response is not a bad estimate of the overall shape of the HMA impulse response, based on this information we might perform our linear combination with a simple moving average :
2EMA(p/2) + -1SMA(p)
this gives the following impulse response :
As we can see there is a clear lack of accuracy, but because the impulse response of a simple moving is a constant we can't have the short increasing weights of the HMA, we therefore need a non-constant impulse response for our linear combination, a WMA might be appropriate. Therefore we will use :
2WMA(p/2) + -1EMA(p/2)
Note that the lag a WMA is inferior to the lag of an EMA of same period, this is why the period of the WMA is p/2 . We obtain :
The shape has improved, but the fit is poor, which mean we should change our coefficients, more precisely increasing the coefficient of the WMA (thus decreasing the one of the EMA). We will try :
3WMA(p/2) + -2EMA(p/2)
We then obtain :
This estimate seems to have a decent fit, and this linear combination is therefore used.
Comparison
HMA in blue and the estimate in fuchsia with both period 50, the difference can be noted, however the estimate is relatively accurate.
In the image above the period has been set to 200.
Conclusion
In this post an efficient estimate of the HMA has been proposed, we have seen that the HMA can be estimated via the linear combinations of a WMA and an EMA of each period p/2 , this isn't important for the EMA who is based on recursion but is however a big deal for the WMA who use recursion, and therefore p indicate the number of data points to be used in the convolution, knowing that we use only convolution and that this convolution use twice less data points then one of the WMA used in the HMA is a pretty great thing.
Subtle tweaking of the coefficients/moving averages length's might help have an even more accurate estimate, the fact that the WMA make use of a period of √p is certainly the most disturbing aspect when it comes to estimating the HMA. I also described more in depth the process of estimating a moving average.
I hope you learned something in this post, it took me quite a lot of time to prepare, maybe 2 hours, some pinescripters pass an enormous amount of time providing content and helping the community, one of them being LucF, without him i don't think you'll be seeing this indicator as well as many ones i previously posted, I encourage you to thank him and check his work for Pinecoders as well as following him.
Thanks for reading !
ハル移動平均 (HMA)
Colored Moving Averages Can Help You Spot TrendsMoving averages are perhaps the most popular indicator in technical analysis. But sometimes they're not the easiest to interpret.
This indicator helps you see the trend by coloring the MA based on its direction. It's green when rising and red when falling. Of course, you can easily change that in the Style tab under Settings.
Color MA also lets you select from five different types of moving averages, including simple, exponential and Hull. We've included a list for easy reference below. Just change the "AvgType" on the Input tab under Settings.
This chart of Facebook shows the 20-day simple moving average. Notice how swings often marked turns in the stock price.
AvgType codes:
1 - Simple Moving Average
2 - Exponential Moving Average
3 - Hull Moving Average
4 - Weighted Moving Average
5 - Volume Weighted Moving Average
SSL HybridThis script is designed for the NNFX Method, so it is recommended for Daily charts only.
Tried to implement a few VP NNFX Rules
This script has a SSL / Baseline (you can choose between the SSL or MA), a secondary SSL for continiuation trades and a third SSL for exit trades.
Alerts added for Baseline entries, SSL2 continuations, Exits.
Baseline has a Keltner Channel setting for "in zone" Gray Candles
Added "Candle Size > 1 ATR" Diamonds from my old script with the criteria of being within Baseline ATR range.
Credits go to:
Strategy causecelebre www.tradingview.com
SSL Channel ErwinBeckers www.tradingview.com
Moving Averages jiehonglim www.tradingview.com
Moving Averages everget www.tradingview.com
"Many Moving Averages" script Fractured www.tradingview.com
Volume weighted Hull moving averageA simple variation on the Hull Moving Average which reacts faster to high volume events, making it more responsive in those cases than even the standard Hull average.
Volume Effectiveness [BigBitsIO]This Volume Effectiveness indicator is designed to allow users to try and identify how effective volume is on each candle, and smoothing those values over time to try to find trends.
Volume Effectiveness is the % change in price for each single unit of volume on the associated candle. The value can be positive or negative, but there is an option to just monitor an absolute value.
Features:
- Volume Effectiveness
- Toggle if Volume Effectiveness should be an absolute value
- Toggle visibility of bars
- Smoothed moving average of Volume Effectiveness
- Adjustable period on the smoothed moving average
- Several moving average types available to use for the smoothed moving average
- Toggle visibility of smoothed moving average
MasterMAThis study demonstrates 15 different common moving averages.
SMA, Double SMA, Triple SMA
EMA, Double EMA, Triple EMA
WMA, Double WMA, Triple WMA
VWMA, Double VWMA, Triple VWMA
Hull, Double Hull, Triple Hull
Buy/Sell alerts are given for crossover/under conditions.
Triangles at the bottom, pointing up are buy signals. Triangles at the top, pointing down, are sell signals
Layout Padrao_HULL Version This layout was inspired by the Andre Machado´s Tabajara set of rules.
The adaptation are the following:
-Usage of Hull Average instead of simple moving average
-Usage of 2 Averages instead of just one
-Implementation of a "transition zone"
Average Candle Color
p1 // p2 // Prior
> // > // > Set Color 1
> // > // < Set in your layout settings color (down candle)
> // < // > Set Color A1
> // < // < Set Color A2
< // > // > Set Color A1
< // > // < Set Color A2
< // < // > Set in your layout settings color (up candle)
< // < // < Set Color 2
The A1 // A2 colors are for the transition zone.
Either the average 1 or the average 2 will be lower than the previous average.
This is a way to show how both averages are developing without having to look at 2 additional lines, making the layout more clear (at least, for me).
Feel free to comment
PS: Thank you for all the people who have implemented Machado´s work in pine editor
Baseline - evoPlots the high and low of your chosen moving average.
Options are:
SMA = Simple Moving Average
EMA = Exponential Moving Average
WMA = Weighted Moving Average
HMA = Hull Moving Average
VWMA = Volume Weighted Moving Average
RMA = Exponetial Weighted Moving Average
ALMA = Arnaud Legoux Moving Average
Unbox "Use Current Timeframe" to use chosen timeframe below
I mainly use this to get in and out of the market for futures trading, to reduce fake outs of having just one moving average line.
Let me know if you like it..
Inspired from LazyBear's EMAenvelope :)
TSI CCI HullThis is TSI and CCI combined. The CCI is customized and is using HullMA, but the TSI is default TSI
For use with the HMAv420 indicator, to form trading strategy based on the 3 indicators.
Best as all 3 indicators used on 3 timeframes at once, ie 1m 5m 1H
Triple Hull Moving AverageCalculates and plots 3 Hull Moving Averages. Color of plot changes to indicate positive or negative slope. Original Hull MA code written by mohamed982.
Scripting Tutorial 4 - Triple Many Moving Averages ImprovedThis script is for a triple moving average indicator where the user can select from different types of moving averages and periods. This script improves upon tutorial 3 by adding source selection for MAs and another option for an MA that is not built-in, the HMA. It is meant as an educational script with well formatted styling, and references for specific functions.
Multiple HMA - bgeraghtyTo save space on a chart's maximum indicator count, this single indicator includes:
- Three Hull Moving Averages, Defaulted to 13, 26, and 55 Periods.
- Customizable Time-Frame for Each HMA.
- Customizable Triple Weighted MA Smoothing for Jagged Lines from Higher Time-Frame
- Alert Conditions for Price Cross Over/Under the HMAs.
OBV with Auto Fibonacci LevelsI like to use OBV as a summary of the order book action + I added Fib levels from my other script for more context. I typically trade swings on H4, and HMA of the OBV helps me set the bias/trend.
Ultimate_MA_MTF_CMChrisMoody MTF Ultimate Moving Average combined
with Exponential Moving Averages with Price line, i needed to analyze stocks
I have added 50, 100, 200 Period Moving Average to Chrismoody's UMA_MTF
Chris's MA can be found at
i have just combined these averages in a script major contribution goes to chris not me
please look at his indicator still is million times better than me
Hull Trend MTFhull trend taken from
So add MTF function and alert for the buy and sell (in the MTF shift set to 0 , if repaint then set shift to 1)
the blue line is linear regression trend
Hull TrendHere we are using Hull Moving Average crossovers as an experiment in trend detection.
The Hull Moving Average (HMA) is an extremely fast and smooth moving average.
Credit to alexgrover & RicardoSantos:
HMA ATR Range v2In Alan Hull's books he talks about his 'range indicator' which is the HMA and ATR to give buy / hold / sell signals.
It is the HMA with the ATR SL with the Trend and (ATR multiplier * Period) + HMA for the TP (upper range)
HMA ATR RangeIn Alan's books he talks about his 'range indicator' which is the HMA and ATR to give buy / hold / sell signals. This is my version as he doesnt give the formula.
It is the HMA with the ATR added and subtracted and plotted above & below the HMA to create a range.
According to Alan's terminology: HMA = Central Cord, SL = Lower deviation, TP = Upper deviation
Exponential Hull MA Oscillator PrototypeClamped EHMA Oscillator Prototype with 21/200 EHMA with additional JMA smoothing (Credit: @everget)
Note: This is an experiment - this is not a polished indicator
HMA=WMA(2*WMA(n/2)−WMA(n)),sqrt(n))3 Hull moving averages
Hull MA 1 (shortest period) crossing Hull MA 2 is buy and sell signal, 3rd MA (longest period) to show overall trend
Pivots included
