hypergeometric_cdf.m

GNU Octave is a high-level language, primarily intended for numerical computations. It provides a c

## 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 <[e-mail]>
## 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