Mercurial > hg > octave-nkf
diff scripts/statistics/base/cov.m @ 3200:781c930425fd
[project @ 1998-10-29 05:23:08 by jwe]
author | jwe |
---|---|
date | Thu, 29 Oct 1998 05:23:09 +0000 |
parents | |
children | 0748b03c3510 |
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new file mode 100644 --- /dev/null +++ b/scripts/statistics/base/cov.m @@ -0,0 +1,56 @@ +## Copyright (C) 1995, 1996, 1997 Kurt Hornik +## +## 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: cov (x [, y]) +## +## The (i,j)-th entry of cov (x, y) is the covariance between the i-th +## variable in x and the j-th variable in y. +## +## For matrices, each row is an observation and each column a variable; +## vectors are always observations and may be row or column vectors. +## +## cov (x) is cov (x, x). + +## Author: KH <Kurt.Hornik@ci.tuwien.ac.at> +## Description: Compute covariances + +function c = cov (x, y) + + if (nargin < 1 || nargin > 2) + usage ("cov (x [, y])"); + endif + + if (rows (x) == 1) + x = x'; + endif + n = rows (x); + + if (nargin == 2) + if (rows (y) == 1) + y = y'; + endif + if (rows (y) != n) + error ("cov: x and y must have the same number of observations."); + endif + x = x - ones (n, 1) * sum (x) / n; + y = y - ones (n, 1) * sum (y) / n; + c = conj (x' * y / (n - 1)); + elseif (nargin == 1) + x = x - ones (n, 1) * sum (x) / n; + c = conj (x' * x / (n - 1)); + endif + +endfunction