/usr/share/octave/packages/statistics-1.3.0/normstat.m is in octave-statistics 1.3.0-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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##
## 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 <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {[@var{mn}, @var{v}] =} normstat (@var{m}, @var{s})
## Compute mean and variance of the normal distribution.
##
## @subheading Arguments
##
## @itemize @bullet
## @item
## @var{m} is the mean of the normal distribution
##
## @item
## @var{s} is the standard deviation of the normal distribution.
## @var{s} must be positive
## @end itemize
## @var{m} and @var{s} must be of common size or one of them must be
## scalar
##
## @subheading Return values
##
## @itemize @bullet
## @item
## @var{mn} is the mean of the normal distribution
##
## @item
## @var{v} is the variance of the normal distribution
## @end itemize
##
## @subheading Examples
##
## @example
## @group
## m = 1:6;
## s = 0:0.2:1;
## [mn, v] = normstat (m, s)
## @end group
##
## @group
## [mn, v] = normstat (0, s)
## @end group
## @end example
##
## @subheading References
##
## @enumerate
## @item
## Wendy L. Martinez and Angel R. Martinez. @cite{Computational Statistics
## Handbook with MATLAB}. Appendix E, pages 547-557, Chapman & Hall/CRC,
## 2001.
##
## @item
## Athanasios Papoulis. @cite{Probability, Random Variables, and Stochastic
## Processes}. McGraw-Hill, New York, second edition, 1984.
## @end enumerate
## @end deftypefn
## Author: Arno Onken <asnelt@asnelt.org>
## Description: Moments of the normal distribution
function [mn, v] = normstat (m, s)
# Check arguments
if (nargin != 2)
print_usage ();
endif
if (! isempty (m) && ! ismatrix (m))
error ("normstat: m must be a numeric matrix");
endif
if (! isempty (s) && ! ismatrix (s))
error ("normstat: s must be a numeric matrix");
endif
if (! isscalar (m) || ! isscalar (s))
[retval, m, s] = common_size (m, s);
if (retval > 0)
error ("normstat: m and s must be of common size or scalar");
endif
endif
# Set moments
mn = m;
v = s .* s;
# Continue argument check
k = find (! (s > 0) | ! (s < Inf));
if (any (k))
mn(k) = NaN;
v(k) = NaN;
endif
endfunction
%!test
%! m = 1:6;
%! s = 0.2:0.2:1.2;
%! [mn, v] = normstat (m, s);
%! expected_v = [0.0400, 0.1600, 0.3600, 0.6400, 1.0000, 1.4400];
%! assert (mn, m);
%! assert (v, expected_v, 0.001);
%!test
%! s = 0.2:0.2:1.2;
%! [mn, v] = normstat (0, s);
%! expected_mn = [0, 0, 0, 0, 0, 0];
%! expected_v = [0.0400, 0.1600, 0.3600, 0.6400, 1.0000, 1.4400];
%! assert (mn, expected_mn, 0.001);
%! assert (v, expected_v, 0.001);
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