Mercurial > octave
view scripts/statistics/distributions/f_cdf.m @ 5307:4c8a2e4e0717
[project @ 2005-04-26 19:24:27 by jwe]
author | jwe |
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date | Tue, 26 Apr 2005 19:24:47 +0000 |
parents | 265d566cc770 |
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## Copyright (C) 1995, 1996, 1997 Kurt Hornik ## ## This file is part of Octave. ## ## Octave 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. ## ## Octave 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 Octave; see the file COPYING. If not, write to the Free ## Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA ## 02110-1301, USA. ## -*- texinfo -*- ## @deftypefn {Function File} {} f_cdf (@var{x}, @var{m}, @var{n}) ## For each element of @var{x}, compute the CDF at @var{x} of the F ## distribution with @var{m} and @var{n} degrees of freedom, i.e., ## PROB (F (@var{m}, @var{n}) <= @var{x}). ## @end deftypefn ## Author: KH <Kurt.Hornik@ci.tuwien.ac.at> ## Description: CDF of the F distribution function cdf = f_cdf (x, m, n) if (nargin != 3) usage ("f_cdf (x, m, n)"); endif if (!isscalar (m) || !isscalar (n)) [retval, x, m, n] = common_size (x, m, n); if (retval > 0) error ("f_cdf: x, m and n must be of common size or scalar"); endif endif sz = size (x); cdf = zeros (sz); k = find (!(m > 0) | !(n > 0) | isnan (x)); if (any (k)) cdf(k) = NaN; endif k = find ((x == Inf) & (m > 0) & (n > 0)); if (any (k)) cdf(k) = 1; endif k = find ((x > 0) & (x < Inf) & (m > 0) & (n > 0)); if (any (k)) if (isscalar (m) && isscalar (n)) cdf(k) = 1 - betainc (1 ./ (1 + m .* x(k) ./ n), n / 2, m / 2); else cdf(k) = 1 - betainc (1 ./ (1 + m(k) .* x(k) ./ n(k)), n(k) / 2, m(k) / 2); endif endif endfunction