X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Ffinancial-0.4.0%2Fcorr2cov.m;fp=octave_packages%2Ffinancial-0.4.0%2Fcorr2cov.m;h=4e68a0c1ad9a734abd2b93b807ec287250b9b5e7;hp=0000000000000000000000000000000000000000;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/financial-0.4.0/corr2cov.m b/octave_packages/financial-0.4.0/corr2cov.m new file mode 100644 index 0000000..4e68a0c --- /dev/null +++ b/octave_packages/financial-0.4.0/corr2cov.m @@ -0,0 +1,55 @@ +## 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{cov} =} corr2cov (@var{sigma}, @var{corr}) +## Convert standard deviation @var{sigma} and correlation coefficients @var{corr} +## to covariance @var{cov}. +## +## Note that the rate @var{r} is specified as a fraction (i.e., 0.05, +## not 5 percent). +## @seealso{corrcoef, cov, cov2corr, std} +## @end deftypefn + +function ret = corr2cov (sigma, corr) + + if ( nargin != 2 ) + print_usage (); + elseif ( rows(corr) != columns(corr) || ndims(corr) != 2 ) + error("correlation coefficients must be a NxN matrix"); + elseif ( rows(sigma) != 1 || ndims(sigma) != 2 ) + error("sigma must be a 1xN vector (single row) with the standard deviation values"); + elseif ( columns(sigma) < columns(1) ) + error("sigma: must be 1xN \ncorr: must be NxN"); + endif + + sigma = sigma(:); + ret = corr .* (sigma * sigma'); + +endfunction + +%!demo +%! sigma = [ 0.5 2.0 ]; +%! corr = [ 1.0 -0.5; -0.5 1.0 ]; +%! cov = corr2cov( sigma, corr ) +%! %-------------------------------------------------- +%! % Input standard deviations and correlation matrix, output covariance +%! % matrix + +%!test +%! sigma = [0.5 2.0]; +%! corr = [1.0 -0.5; -0.5 1.0]; +%! cov = corr2cov( sigma, corr ); +%! assert( cov, [ 0.25 -0.5; -0.5 4.0 ] )