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## Copyright (C) 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.
## Compute the cumulative distribution function (CDF) at x of the
## hypergeometric distribution with parameters m, t, and n. This is the
## probability of obtaining not more than x marked items when randomly
## drawing a sample of size n without replacement from a population of
## total size t containing m marked items.
##
## The parameters m, t, and n must positive integers with m and n not
## greater than t.
## Author: KH <Kurt.Hornik@ci.tuwien.ac.at>
## Description: CDF of the hypergeometric distribution
function cdf = hypergeometric_cdf (x, m, t, n)
if (nargin != 4)
usage ("hypergeometrix_cdf (x, m, t, n)");
endif
if ((m < 0) | (t < 0) | (n <= 0) | (m != round (m)) |
(t != round (t)) | (n != round (n)) | (m > t) | (n > t))
cdf = NaN * ones (size (x))
else
cdf = discrete_cdf (x, 0 : n, hypergeometric_pdf (0 : n, m, t, n));
endif
endfunction
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