The z-score is a way of counting the number of standard deviations between a given data value and the mean of the data set.
Z-score = (x̄ - μ) / (σ / √ n)
x̄ = sample mean (using the array.avg function = array(a,close ), where i = 1 to 21)
μ = population mean ( = avg(close, n))
σ = standard deviation of the population ( = stdev(close,n))
n = number of 'close'...
Free for public consumption
There is very little original here, the idea is discussed in the underground traders alliance, (google em), and was apparently the basis of what was at one time myfxbooks most profitable strategy.
I can't find the original video that was floating around on youtube, but if i find it again, i'll link it here.
This is bascially just...
//Every spread & central tendency measure in 1 script with comfortable visualization, including scrips's status line.
Spread measures:
- Standard deviation (for most cases);
- Average deviation (if there are extreme values);
- GstDev - Geometric Standard Deviation (exclusively for Geometric Mean);
- HstDev - Harmonic Deviation (exclusively for Harmonic...
No, it's not a new saturation plugin for your fruity loops.
...
These are Mean Average Deviations calculated from Harmonic Mean.
...
In my previous research I tried to develop "Harmonic Average Deviations", since applying stdevs on Harmonic Mean calculated from reciprocals ain't make sense. Din't work out, prolly cuz by definition stdevs doesn't like negatives. So...
I'm publishing it for research purposes & welcome any ideas and/or explanations whether it's actually possible or nah to do what I'm doing right now.
...
Idea is simple - if we can do Harmonic Mean, can we do Harmonic Standard Deviations? It should be the same logic, the only difference is instead of actual datapoints we gotta use reciprocals.
In reality I've...
I was legitimately surprised no1 has already coded it out on TradingView, but you guys can copypaste & include it in Pine 5 if your see this xd
Here is it.
I've checked and double checked everything, the calculations are right, it can be proved by plotting mean, geometric mean & harmonic mean together and noticing that geometric mean will be always between...
The Zero Mean Roofing Filter was created by John Ehlers (Cycle Analytics For Traders pg 80) and this is a much more reactive roofing filter compared to Ehler's Roofing Filter which I also added for reference. Buy when the indicator rises over 0 and sell when the indicator falls below 0.
This was a special request so let me know if there are other indicators you...
A good amount of users requested a text box showing various price statistics, the following script returns various of these stats in a user-selected range, and include classical ones such as a central tendency measurement (mean), dispersion (normalized range) and percent change, but also include less common statistics such as average traded volume and number of...
Sometimes the market data follows normal distribution, in these cases it is more appropriate to utilize mean-based statistical techniques. This script plots the special case of seven-number summary with 1st, 2nd & 3rd standard deviations below and above the mean.
It also has "Log-space" switch which should be checked while using logarithmic scale.
The next...
This is a more advanced version of my original mean reversion script.
It employs the famous Bollinger Bands.
This robot will buy when price falls below the lower Bollinger Band, and sell when price moves above the upper Bollinger Band.
I've only tested it on the S&P 500, though you could try it out on other assets to see the backtest performance.
During...
Count of previous bars above or below a chosen Exponential Moving Average. Typically price reconnects with well defined EMAs regularly. If the price has been above/below an EMA for too long, you can expect a reconnect in a short order and bet on mean reversion strategies.
The other way to build bands around price that uses Mean Absolute Deviation instead of Standard Deviation.
MAD is also a measure of variability, but less frequently used. MAD is better for use with distributions other than the Gaussian.
MAD is always less than or equal to Standard Deviation and the resulting bands are more tighter for the same parameters if we...
This indicator aims to aid in using the regular London Breakout strategy, as well as improve on it by adding a trailing stop based on the Mean Deviation Index.
The London Breakout strategy (according to my personal understanding) basically sees the morning before London open as the accumulation or distribution range for large buyers or sellers, and assumes the...
The Mean Deviation Index (MDX) is used to see how much price is deviating from the mean. This indicator takes both volatility and mean deviation in consideration.
It uses the standard deviation of the ATR to filter an EMA, and uses this as the mean. It then only plots > or < 0 if price is more than one x ATR away from the mean. If index is positive, the...
Mean reversion strategy, based upon the price deviation (%) from a chosen moving average (bars). Do note that the "gains" are always relative to your starting capital, so if you set a smaller starting capital (e.g. $10000) your gains will look bigger. Also when the strategy tester has finished calculating, check the "Open P/L", as there could still be open trades....
![CL2!: [R&D] Harmonic deviations](https://s3.tradingview.com/b/buH8HTSs_mid.png "[R&D] Harmonic deviations")
![TQQQ: Ehlers Zero Mean Roofing Filter [CC]](https://s3.tradingview.com/7/7p3VqCXG_mid.png "Ehlers Zero Mean Roofing Filter [CC]")
