X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Ffinancial-0.4.0%2Fcov2corr.m;fp=octave_packages%2Ffinancial-0.4.0%2Fcov2corr.m;h=8d6d5b6d7d1362da3bb924e42b47165bc346e909;hp=0000000000000000000000000000000000000000;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/financial-0.4.0/cov2corr.m b/octave_packages/financial-0.4.0/cov2corr.m new file mode 100644 index 0000000..8d6d5b6 --- /dev/null +++ b/octave_packages/financial-0.4.0/cov2corr.m @@ -0,0 +1,53 @@ +## Copyright (C) 2011 Hong Yu +## +## 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 3 of the License, 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 program; if not, see . + +## -*- texinfo -*- +## @deftypefn {Function File} {[@var{sigma}, @var{corr}] =} cov2corr (@var{cov}) +## Convert covariance @var{cov} from input to standard deviation @var{sigma} and +## correlation coefficients @var{corr}. +## +## @seealso{corr2cov, corrcoef, cov, std} +## @end deftypefn + +function [sigma, corr] = cov2corr (cov_m) + + if ( nargin != 1 ) + print_usage (); + elseif ( ndims (cov_m) != 2 || rows(cov_m) != columns(cov_m) ) + error("covariances must be a NxN matrix"); + endif + + sigma = diag(cov_m); + if ( min(sigma) <= 0 ) + error("covariance: must have all positive values along the diagonal") + endif + + sigma = sqrt(sigma)'; + corr = cov_m ./ ( sigma' * sigma ); + +endfunction + +%!demo +%! cov = [ 0.25 -0.5; -0.5 4.0 ]; +%! [ sigma, corr ] = cov2corr( cov ) +%! %-------------------------------------------------- +%! % Input covariance matrix, output standard deviations and correlation +%! % matrix + +%!test +%! cov = [ 0.25 -0.5; -0.5 4.0 ]; +%! [sigma, corr] = cov2corr( cov ); +%! assert( sigma, [0.5 2.0] ) +%! assert( corr, [1.0 -0.5; -0.5 1.0] );