Extending the Works of Torben Mogensen, on Torben Median
Median Filtering is an important technique !
The median filter is a non-linear digital filtering technique, often used to remove noise from an image or signal. Such noise reduction is a typical pre-processing step to improve the results of later processing (for example, edge detection on an image). Median...
This method was pointed it out by Torben Mogensen.
It is certainly not the fastest way of finding a median, but it has the very interesting property that it does not modify the input array when looking for the median. It becomes extremely powerful when the number of elements to consider starts to be large, and copying the input array may cause enormous...
Plots levels representing the prices that the stock closed above its n-period moving median(default=100).
2 thickest lines represents the two most recent crossover levels.
Candles are colored green if the price is currently above its moving median and red if below.
The new array feature is extremely powerful, as it will allow pinescript users to do more complex things, or compute existing calculations more efficiently, it will also be possible to shine some light to some already existing functions, one of them being percentile_nearest_rank .
We have been working on this new feature with our pal alexgrover, and made this...
//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...
This study tries to highlight ranges
as they are defined by
TradingLatino TradingView user.
The study uses median values.
A range is defined as periods when the price does not move a lot.
Its default values are aimed at BTCUSDT pair and 4h timeframe.
HOW IT WORKS
For each of the bars a '5' median is calculated based on the 'highest of open and close'
For...
Statistical methods based on mean cannot be effective all the time when attributed to financial data since it doesn't usually follow normal distribution, the data can be skewed or/and have extreme values which can be described as outliers.
In order to deal with this problem it is appropriate to use median-based techniques.
The most common one is called...
This is a composite indicator made up of:
- modifided (rescaled) version of evergets version of recursive median oscillator.
- 1996anoojpatels Futur modification of Ehlers Fisher Transform Ribbons Indicator
I think Ehlers attempts to minimise latency in indicators are extremely valuable and some of my most use trading tools. Thanks to all the authors whose...
I compared custom median (using the sorting solution by @apozdnyakov) with built-in median (using percentile_nearest_rank function)
If you see the zero line this means the solutions give the same results.
The best results was achieved on the odd lengths.
Conclusions:
1) Do not try to reinvent the wheel.
2) Always check the Pine Script docs to find already...
Ehlers Smoothed Adaptive Momentum script.
This indicator was developed and described by John F. Ehlers in his book "Cybernetic Analysis for Stocks and Futures" (2004, Chapter 12: Adapting to the Trend).
Hampel Filter script.
This indicator was originally developed by Frank Rudolf Hampel (Journal of the American Statistical Association, 69, 382–393, 1974: The influence curve and its role in robust estimation).
The Hampel filter is a simple but effective filter to find outliers and to remove them from data. It performs better than a median filter.
Interquartile Range Bands script.
This indicator was originally developed by Alex Orekhov at his home.
The idea based on the interquartile range en.wikipedia.org
If price breaks out from the bands then it is `outlier` price.
After breakouts price always returns to its median.
Watch squeeze/expansion periods.
Anyway use it as a supplement to the other...
Recursive Median Filter indicator script.
This indicator was originally developed by John F. Ehlers (Stocks & Commodities V. 36:03 (8–11): Recursive Median Filters).
Recursive Median Oscillator indicator script.
This indicator was originally developed by John F. Ehlers (Stocks & Commodities V. 36:03 (8–11): Recursive Median Filters).
![TSLA: Percentile Nearest Rank Using Arrays [LuxAlgo]](https://s3.tradingview.com/y/YDpNmgQV_mid.png "Percentile Nearest Rank Using Arrays [LuxAlgo]")
![USDJPY: [RESEARCH] Custom Median vs Built-in Median](https://s3.tradingview.com/y/yjQx0BVg_mid.png "[RESEARCH] Custom Median vs Built-in Median")
