Mercurial > hg > octave-lyh
diff scripts/statistics/distributions/pascal_rnd.m @ 3191:e4f4b2d26ee9
[project @ 1998-10-23 05:43:59 by jwe]
author | jwe |
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date | Fri, 23 Oct 1998 05:44:01 +0000 |
parents | |
children | f8dde1807dee |
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new file mode 100644 --- /dev/null +++ b/scripts/statistics/distributions/pascal_rnd.m @@ -0,0 +1,78 @@ +## 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: pascal_rnd (n, p [, r, c]) +## +## pascal_rnd (n, p) returns a matrix of random samples from the Pascal +## (negative binomial) distribution with parameters n and p. The size of +## the matrix is the common size of n and p. +## +## pascal_rnd (n, p, r, c) returns an r by c matrix of random samples +## from the Pascal distribution with parameters n and p. Both n and p +## must be scalar or of size r by c. + +## Author: KH <Kurt.Hornik@ci.tuwien.ac.at> +## Description: Random deviates from the Pascal distribution + +function rnd = pascal_rnd (n, p, r, c) + + if (nargin == 4) + if ( !(is_scalar (r) && (r > 0) && (r == round (r))) ) + error ("pascal_rnd: r must be a positive integer"); + endif + if ( !(is_scalar (c) && (c > 0) && (c == round (c))) ) + error ("pascal_rnd: c must be a positive integer"); + endif + [retval, n, p] = common_size (n, p, zeros (r, c)); + if (retval > 0) + error (strcat("pascal_rnd: ", + "n and p must be scalar or of size ", + sprintf ("%d by %d", r, c))); + endif + elseif (nargin == 2) + [retval, n, p] = common_size (n, p); + if (retval > 0) + error ("pascal_rnd: n and p must be of common size or scalar"); + endif + else + usage ("pascal_rnd (n, p [, r, c])"); + endif + + [r, c] = size (n); + s = r * c; + n = reshape (n, 1, s); + p = reshape (p, 1, s); + rnd = zeros (1, s); + + k = find (!(n > 0) | !(n < Inf) | !(n == round (n)) ... + | !(p <= 0) | !(p >= 1)); + if (any (k)) + rnd(k) = NaN * ones (1, length (k)); + endif + + k = find ((n > 0) & (n < Inf) & (n == round (n)) ... + & (p >= 0) & (p <= 1)); + if (any (k)) + N = max (n(k)); + L = length (k); + tmp = floor (log (rand (N, L)) ./ (ones (N, 1) * log (1 - p(k)))); + ind = (1 : N)' * ones (1, L); + rnd(k) = sum (tmp .* (ind <= ones (N, 1) * n(k))); + endif + + rnd = reshape (rnd, r, c); + +endfunction \ No newline at end of file