diff scripts/statistics/distributions/pascal_rnd.m @ 3191:e4f4b2d26ee9

[project @ 1998-10-23 05:43:59 by jwe]
author jwe
date Fri, 23 Oct 1998 05:44:01 +0000
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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:  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
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