TA Basics: Evolving our Zero Lag Moving Average.In the previous Zero-Lag MA post, we introduced the "mirroring" technique and the associated calculation.
In this post, we will see how we can use the same technique, with a slight variation, to evolve our zero lag moving average line, add more "smoothness" and still maintaining the low lag and fast response to data series changes.
to use the "mirroring" technique, we need to use 2 MA lines with varying speeds - this is essential to produce the delta between the lines, that can then be mirrored around the fast line to produce the final line. in the first example, we used a Simple MA (slow) and a Weighted MA (fast) of the same length to achieve that.
here we introduce a different way of doing that. we will use a Weighted MA of the length (slow) and another Weighted MA of half the length (fast) -- the difference in "speed" between these 2 lines should produce the delta we need, we mirror it around the fast line, and we get our desired Zero-lag line. Check!
then while we're at it, why don't we introduce an additional smoothing just to ensure the new line is not too "broken" and jumpy .. and flows smoothly across the data series. but what length should we use for smoothing?
smoothing length should be enough to make an actual smoothing effect, but not too large else it will introduce lagging on its own. how about 3? usually 3 or 4 are good values for smoothing. A brilliant idea here is to use a number related to the same input length of the original line, which can always be relatively small -- the square root (integer portion) of that original length - and in that case, the user will only need to enter 1 input for the moving average, just the length - everything will be calculated from there. Check again!
I commented the code if you like to follow the simplified build-up of the formula, now that the concept is explained.
the (more complex-looking) 1-line, condensed form of that formula to use is (alert: watch out for the ()'s -- they're tricky :) )
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ZLMA_Line = wma((2*wma(close,int(length/2)) - wma(close,length)), int(sqrt(length)))
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the one thing i do not like about this technique, is that we introduce the use of the half length MA. i do not like to build indicators that make decisions like this on behalf of the trader - the trader wants to analyze the data for a specific length, and we should continue to stick to that consistently across the moving average (or whatever indicator) calculation. I would always be caution about "hardcoding" some optional values (in this case 0.5 * length) within the indicator itself - others may not mind that.
Now to a nice surprise for the patient folks who got so far in this post - Congratulations, we have just discovered the concept and the formula behind the famous Hull Moving Average .. the big thing here is, we just had the opportunity to learn how to create the whole thing ourselves from the ground up step by step, and had fun doing it (I hope!)
-- these posts are meant to provide those who are new to the world of technical analysis and want to learn how and why to build their own technical indicators. i hope some of you find them useful and interesting, and i wish you the best of luck.
Media mobile ponderata (WMA)
BTC Hash Rate & Price Stochastic IndiciatorFresh off the press, we have a new breed of indicators: Bitcoin's Hash Rate & Price.
As many of you have read, roughly 80% of BTC's price movements can be correlated to its changes in hash rate volume. I decided to make a stochastic indicator that utilizes this principle to track divergence of the price from the hash rate.
Let's break this down...
In red is the CLOSE of BTC's Price, which is then smoothed by a SMA, and smoothed again by a WMA.
In aqua is a STOCH of BTC's Hash Rate, which is then smoothed by a SMA, and smoothed again by a WMA.
The reason why I chose to use the CLOSE of the Price versus a STOCH as I did with the Hash Rate, is because the price tends to signal trends via divergence from the Hash Rate, and eventually converge with the Hash Rate at some point.
You will notice that anytime there is a significant divergence of the RED from the AQUA, a trend is closely aligned with it. This indicator does a remarkable job of indicating the beginnings and ends of both bullish and bearish price movements.
Example Strategy:
Enter long when RED (price) crosses over AQUA (hash rate), and close long when RED crosses under AQUA.
The inverse can be done for shorts, just RED diverges downwards from AQUA versus upwards.
Note:
Unlike a normal Stochastic Indicator, the upper and lower bounds do not appear to hold any significance. In other words, the lines do not seem to reverse at 20/80. As a result, I just set them to 0/100 for aesthetics.
DO NOT make trades based off of small divergences, or simply enter into positions based off the price divergences. Though this indicator times the start/end of movements very accurately, it also comes riddled with false breakouts .
Proceed at your own pace, and please, toy around with the inputs values. I experimented with a few combinations, but I'm sure there are better value combinations that yield sharper results with fewer false signals.
EASTER EGG:
Notice the "Golden Line"? Any avid user of TV knows that Fibonacci ratios show up everywhere in markets. With that said, I plotted a horizontal line at 0.618, which is 1/Phi, an important level in Fibonacci retracements.
Final Comments:
First, this is not investment, merely my experimentation and observation of happenings in the analytical world.
Second, please comment questions, improvements, etc. Dialogue opens up room for exploration!
BEST Rainbow ChartHello traders
This script is a Pinescript adaptation of this FXCM/LUA script
Draws a flexible number of moving averages between 1 and 5 - with a end result looking like a rainbow
Formula
Each Moving Average is defined as a Moving Average of the previous MA
The first MA is based on candle close
MA = MA of Price
MA = MA of MA
....
MA = MA of MA
Bonus
You can select the MA type (EMA, SMA, SMMA, TEMA, DEMA, TMA, ALMA, VWMA, ...) and the MA period shared across all the moving averages
Scaling
If you have any issue with your scaling, you may follow this quick tutorial
Hope you'll like it because it looks nice on your chart :)
Dave
M&Ms - Multiple Moving Average Indicators This version includes Simple, Exponential and Weighted Moving Averages.
5WMAs based on GANN numbers 5 13 49 73 198Plots 5 Weighted Moving Averages of 5 13 49 73 198 with source (High+Low+Close)/3
A Cross Appears when 13 WMA Crosses 49 WMA
Scripting Tutorial 8 - Triple Many Moving Averages RibbonsThis script is for a triple moving average indicator where the user can select from different types of moving averages, price sources, lookback periods and resolutions.
Features:
- 3 Moving Averages with variable MA types, periods, price sources, resolutions and the ability to disable each individually
- Crossovers are plotted on the chart with detailed information regarding the crossover (Ex: 50 SMA crossed over 200 SMA )
- Forecasting available for all three MAs. MA values are forecasted 5 values out and plotted as if a continuation to the MA.
- Forecast bias also applies to all forecasting. Bias means we can forecast based on an anticipated bullish, bearish or neutral direction in the market.
- To understand bias, please read the source code, or if you can't read the code just send me a message on here or Twitter. Twitter should be linked to my profile.
- Ribbons added and on by default. Optional setting to disable the ribbons. 5 ribbons between MA1 and MA2 and another 5 between MA2 and MA3.
- Ribbons are alpha-color coded based on their relation to their default MAs.
- Ribbons are only visible between MAs if the MAs being compared share the same Type, Resolution, and Source because there is no way to consolidate those three in a simple manner.
- Ribbon values are calculated based on calculated MA Periods between the MAs.
This script is meant as an educational script with well-formatted styling, and references for specific functions.
Momentum 4 Ways Smoothed [Salty]This is an enhance version of Momentum 4 Ways that shows 4 ways to calculate momentum and display each one along with their combined average value.
This study was created to compare 4 different momentum values against their combined average using different display styles to allow the user to experiment with different views of momentum.
- Added the ability to smooth the Average Momentum value. Default Smoothing value is 5.
- Added the ability to use different average calculations. Default is WMA.
- Added the ability to select the number of momentum values to average (1-4). Default is 4.
- Added the ability to use VWAP instead of price as the input.
The Smoothed Average Momentum line is color coded so that it is green when it is moving in the bullish direction and red when it is moving in the bearish direction.
Scripting Tutorial 5 - Triple Many Moving Averages CrossoversThis 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.
Farey Sequence Weighted Moving AverageA moving average that weighted with Farey fractions. It matches a standard linear weighted average almost one-to-one. Why? Because both averages have strictly monotonic weighting sequences and assign a higher weight to latests data. So, Farey weights are just scaled to linear ones. Instead of specifing period you specify an order of Farey sequence. To learn more about Farey sequence you can refer to Wiki
Published just for reference, it is not intended for trading purposes.
Savitzky-Golay Smoothing FilterThe Savitzky-Golay Filter is a polynomial smoothing filter.
This version implements 3rd degree polynomials using coefficients from Savitzky and Golay's table, specifically the coefficients for a 5-, 7-, 9-, 15- and 25-point window moving averages.
The filters are offset to the left by the number of coefficients (n-1)/2 so it smooths on top of the actual curve.
You can turn off some of the smoothing curves, as it can get cluttered displaying all at once.
Any feedback is very welcome.
5 MA or EMA Fib - By Hanjo_CryptoYou can choose between MA and EMA - Adding the 8, 13, 21, 55, 144, 233 at same time
Dumb Indicator 17 - Retracement and market directionsThis indicator shows when the market is oversold or overbought changing the bar colors as the High+Low/2 going to extreme.
Self-Weighted Moving AverageThis type of moving average was originally developed by Alex Orekhov at his home. This WMA uses previous prices as weights for the new ones. At the moment, this is a highly experimental approach, so don't use it in real trading.
The weighting scheme is presented on the chart.
9 moyennes configurables3 moyennes mobiles simples, 3 moyennes exponentielles et 3 moyennes ponderées.
Longueurs configurables dans les paramètres d'entrée.
Parabolic Weighted Moving AverageThe weights of this moving average are powers of the weights of the standard weighted moving average WMA .
Remember:
When parameter Power = 0, you will get SMA .
When parameter Power = 1, you will get WMA .
Good luck!
Double Weighted Moving AverageMr. Jurik uses this weighted moving average to create a crossover trading system with his JMA.
To learn more see www.jurikres.com .
Good luck!
Inverse Distance Weighted Moving AverageThe weights of this moving average are the sums of distances between points.
Good luck!
Distance Weighted Moving AverageAdopted to Pine from systemtradersuccess.com
They wrote that this average is designed to be a robust version of a moving average to reduce the impact of outliers, but I dont see a significant difference comparing it with SMA. So, I published it for the educational purposes.
To learn more about the robust filters and averages google Hampel Filter, Interquartile Range Filter and Recursive Median Filter (or any other filter that is based on quartiles).
Good luck!
Multiple Moving Average Colors7 moving averages in 1 indicator, including the Hull Moving Average.
I've updated with some graphics that print at the top of the chart (you can change color and placement on the indicator settings page)
All 7 MAs Up - Green and up triangle
All 7 MAs Down - Red and down triangle
4, 5 or 6 MAs Up - Dark green and a square
4, 5 or 6 MAs Down - Maroon and a square