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...

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The augmented Dickey-Fuller test (ADF) is a statistical test for the tendency of a price series sample to mean revert . The current price of a mean-reverting series may tell us something about the next move (as opposed, for example, to a geometric Brownian motion). Thus, the ADF test allows us to spot market inefficiencies and potentially exploit this...

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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...

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My first try to implement Full Hurst Exponent. The Hurst exponent is used as a measure of long-term memory of time series. It relates to the autocorrelations of the time series and the rate at which these decrease as the lag between pairs of values increases The Hurst exponent is referred to as the "index of dependence" or "index of long-range dependence". It...

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//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...

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Library "normsinv" Description: Returns the inverse of the standard normal cumulative distribution. The distribution has a mean of zero and a standard deviation of one; i.e., normsinv seeks that value z such that a normal distribtuion of mean of zero and standard deviation one is equal to the input probability. Reference: github.com normsinv(y0)...

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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...

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Moments describe the shape features of a distribution. There are four essential Moments: Mean, Variance, Skewness, Kurtosis . The Moments of returns can provide a comprehensive view of the tendency, volatility , and risk of the market . It's important for traders to know these statistical properties of the instrument before trading them. █ OVERVIEW The...

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For my second share, I give you some levels I look at everyday for the ES minis. HLC/3 of the MTF (multi-time-frame) inputs = mean and Fib-levels formed as support and resistance zones. There are some websites that will show you 20 ways to figure out a pivot for the day's intraday workings, and this one always rang true for me. I keep it set at Res=D and...

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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...

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This oscillator is used for *mean reversion* strategies only. This oscillator calculates the real-time distance of a price-point subtracted from the SMA, then compares it to the average distance to determine equilibrium imbalances. When the imbalance becomes less and goes under the signal line, a reversal is very likely. Do not trade mean reversion during any...

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This is a mean reversion indicator that anticipates a local trend reversion. Basically, it is a channel with the mid-line serving as a moving mean baseline. Each of the two curves run up and down within this channel bouncing off from the top and bottom bounds. Touching the bounds serves as an indication of a local trend reversal. The reversal signal is stronger...

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This indicator plots the 1, 2 and 3 standard deviations from the mean as bands of color (hot and cold). Useful in identifying likely points of mean reversion. Default mean is WMA 200 but can be SMA, EMA, VWMA, and VAWMA. Calculating the standard deviation is done by first cleaning the data of outliers (configurable).

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Portfolio Metrics **New** 'returns' 'log returns' 'geometric returns' portfolio alpha portfolio beta portfolio,market correlation portfolio standard deviation portfolio variance mean portfolio returns maximum drawdown maximum gain

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The Bollinger Imbalance Oscillator is used for *mean reversion* purposes only. It uses Double Bollinger deviation levels to determine each level of perceived imbalance. When price start to revert to its mean after an imbalance, small char-type arrows appear to assist with direction. This oscillator also includes a squeeze feature on the center-line, based on...

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Some functions to handle Arithmetic Geometric Mean.

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Simple arithmetic mean with source, style and width settings.

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