The indicator Center of Gravity allows to identify main pivot points almost without any lag. The idea of calculating a center of gravity appeared from the investigation of lags of different filters with the finite impulse response (FIR) in accordance with the relative amplitude of filter coefficients. SMA (Simple Moving Average) is a FIR-filter, in which all coefficients have one and the same value. As a result the center of gravity of SMA is an exact center of the filter. WMA (Weighted Moving Average) is a FIR-filter, in which the last price change is weighted through the filter length, and so on.
The values of weighting are coefficients of filters. Coefficients of WMA filters can be presented as contours of a triangle. The center of gravity is on the 1/3 of the triangle base length. Thus WMA gravity center is shifted to the right with respect to the center of gravitation of SMA of the same length, which gives us a smaller lag. For all examples with FIR filters the sum of productions of coefficients and the price must be divided by the sum of coefficients for preservation of original prices.
The most famous of such FIR filters is Ehlers filter that can be presented the following way:
Translated from Russian by MetaQuotes Software Corp.
Original code: https://www.mql5.com/ru/code/7068
Spearman's Rank Correlation is a non-parametric method used in order to make statistical studies of relations between phenomena. In this case, the factual degree of parallelism between two numeric sequences will be detected.Smoothed ADX by John Ehlers
There are many algorithms of smoothing. This given indicator is for smoothing of standard indicator ADX. The code was translated from Easy Language.