Mercurial > octave-antonio
diff scripts/signal/hurst.m @ 3191:e4f4b2d26ee9
[project @ 1998-10-23 05:43:59 by jwe]
author | jwe |
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date | Fri, 23 Oct 1998 05:44:01 +0000 |
parents | |
children | 041ea33fbbf4 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/scripts/signal/hurst.m Fri Oct 23 05:44:01 1998 +0000 @@ -0,0 +1,45 @@ +## Copyright (C) 1995, 1996, 1997 Friedrich Leisch +## +## This program is free software; you can redistribute it and/or modify +## it under the terms of the GNU General Public License as published by +## the Free Software Foundation; either version 2, or (at your option) +## any later version. +## +## This program is distributed in the hope that it will be useful, but +## WITHOUT ANY WARRANTY; without even the implied warranty of +## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with this file. If not, write to the Free Software Foundation, +## 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. + +## usage: H = hurst (x) +## +## Estimates the Hurst parameter of sample x via the rescaled range +## statistic. If x is a matrix, the parameter is estimated for every +## single column. + +## Author: FL <Friedrich.Leisch@ci.tuwien.ac.at> +## Description: Estimate the Hurst parameter + +function H = hurst (x) + + if (nargin != 1) + usage ("hurst (x)"); + endif + + if (is_scalar (x)) + error ("hurst: x must not be a scalar") + elseif is_vector (x) + x = reshape (x, length (x), 1); + end + + [xr xc] = size (x); + + s = std (x); + w = cumsum (x - mean (x)); + RS = (max(w) - min(w)) ./ s; + H = log (RS) / log (xr); + +endfunction