This study is an experiment utilizing the Ehlers Gaussian Filter technique combined with lag reduction techniques and true range to analyze trend activity. Gaussian filters, as Ehlers explains it, are simply exponential moving averages applied multiple times. First, beta and alpha are calculated based on the sampling period and number of poles specified. The...

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The following tool smooths the price data using the Nadaraya-Watson estimator, a simple Kernel regression method. We make use of the Gaussian kernel as a weighting function. Kernel smoothing allows the estimating of underlying trends in the price and has found certain applications in stock prices pattern detection. Note that results are subject to repainting,...

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This is an experimental study built on the concept of using roofing filters on price data proposed by John Ehlers. Roofing filters are a type of bandpass filter conventionally used in HF radio receivers in the first IF stage to limit the frequency spectrum passed on to later stages in the receiver. The goal in applying roofing filters to a price signal is to...

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This is an experimental study that calculates filter values at user defined sample rates. This study is aimed to provide users with alternative functions for filtering price at custom sample rates. First, source data is resampled using the desired rate and cycle offset. The highest possible rate is 1 bar per sample (BPS). There are three resampling methods to...

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A detrended series that oscilates around zero is obtained after first differencing a time series (i.e. subtracting the closing price for a candle from the one immediately before, for example). Hypothetically, assuming that every detrended closing price is independent of each other (what might not be true!), these values will follow a normal distribution with mean...

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Gaussian Filter script. This indicator was described by John F. Ehlers in his book "Rocket Science for Traders" (2001, Chapter 15: Infinite Impulse Response Filters).

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In general gaussian related indicators are built by using the gaussian function in one way or another, for example a gaussian filter is built by using a truncated gaussian function as filter kernel (kernel refer to the set weights) and has many great properties, note that i say truncated because the gaussian function is not supposed to be finite. In general the...

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Gaussian Smoothed Moving Average Fan using Fibonacci numbers

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The signals are based on the Gaussian Channel calculated by Donovan Wall. Thanks also to Kiasaki for Rate of Change code. Simply going long and short based on Gaussian channel was not consistent enough so I also included an MFI filter. We only go long if Money Flow Index is greater than the last candle (more money is flowing in than out). The opposite for short....

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When smoothing data there is always a trade-off between lag and removal of noise. Gaussian filter has a consistently low lag and a very smooth curve. This filter works for poles higher than the 4 (usual usage). Mathematically maximum poles is 15 after which coefficients are too high to see any difference. By tuning Lag and number of Poles you can achieve a very...

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This is a moving average with a customizable gaussian kernel. You can shape your kernel by selecting your parameters in the settings window. This is not something that is immediately ready to mess with by just applying it on the chart, it is very useful for people who are researching indicators and developing new tools. To see the shape of your kernel you can plug...

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Collection of some of the best moving averages. I've tried to collect them all but TV became so slow, that it was completely unusable. So i left only those that performs best on various backtest systems.

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With 4 Moving averages options, length input and source input this script will help you test so you can find the best moving average type and length according to the gaussian distribution theory. Gaussian Distribution Theory: 68% of all data points fit within 1 Standard deviations of the mean 95% of all data points fit within 2 Standard deviations of...

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Gaussian smooth of price. Colour telling the momentum bending (= second diff). Port of mq4 indicator. Tip jar: 165PuWddQdWynFf3fmNi6tVCG6gWf4usKG. Thank you.

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