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R/S statistics

Purpose
Description
Tips
Macro Synopsis
Modules
Related Functions
References


Purpose

R/S Statistics

Description

"R/S statistics", also called rescaling analysis, yields information about the long term correlation of a (fractal) time series. The R/S statistics Q(d) is calculated as the "self-rescaling self-adjusted range''
as a function of the delay d, where

and
and

Tips

If the R/S statistics behaves like the time series is said to have the Hurst exponent H. This fact is used in the macro program HurstExp.dpm.

Macro Synopsis

y = RSstat(x);
signal x,y;

Modules

Statistics

Related Functions

Fractal noise, Box-Cox transform, Detrended fluctuation analysis (DFA), Exponential regression, Linear regression, Long term correlation analysis (LTCA), Multilinear regression, Power regression, Principal component analysis (PCA), Remove DC, Remove trend

References

See Mandelbrot [30] for further reading.