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## 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: f_pdf (x, m, n)
##
## For each element of x, compute the probability density function (PDF)
## at x of the F distribution with m and n degrees of freedom.
## Author: KH <Kurt.Hornik@ci.tuwien.ac.at>
## Description: PDF of the F distribution
function pdf = f_pdf (x, m, n)
if (nargin != 3)
usage ("f_pdf (x, m, n).");
endif
[retval, x, m, n] = common_size (x, m, n);
if (retval > 0)
error ("f_pdf: x, m and n must be of common size or scalar");
endif
[r, c] = size (x);
s = r * c;
x = reshape (x, 1, s);
m = reshape (m, 1, s);
n = reshape (n, 1, s);
pdf = zeros (1, s);
k = find (isnan (x) | !(m > 0) | !(n > 0));
if any (k)
pdf(k) = NaN * ones (1, length (k));
endif
k = find ((x > 0) & (x < Inf) & (m > 0) & (n > 0));
if any (k)
tmp = m(k) .* x(k) ./ n(k);
pdf(k) = exp ((m(k) / 2 - 1) .* log (tmp) ...
- ((m(k) + n(k)) / 2) .* log (1 + tmp)) ...
.* (m(k) ./ n(k)) ./ beta (m(k) / 2, n(k) / 2);
endif
## should we really only allow for positive integer m, n?
k = find ((m != round (m)) | (n != round (n)));
if any (k)
fprintf (stderr, ...
"WARNING: m and n should be positive integers\n");
pdf(k) = NaN * ones (1, length (k));
endif
pdf = reshape (pdf, r, c);
endfunction
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