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- /* randist/pascal.c
- *
- * Copyright (C) 1996, 1997, 1998, 1999, 2000 James Theiler, Brian Gough
- *
- * 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 of the License, 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 program; if not, write to the Free Software
- * Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
- */
-
- #include <config.h>
- #include <math.h>
- #include <gsl/gsl_rng.h>
- #include <gsl/gsl_randist.h>
-
- /* The Pascal distribution is a negative binomial with valued integer n
-
- prob(k) = (n - 1 + k)!/(n!(k - 1)!) * p^n (1-p)^k for k = 0, 1, ..., n
-
- */
-
- unsigned int
- gsl_ran_pascal (const gsl_rng * r, double p, unsigned int n)
- {
- /* This is a separate interface for the pascal distribution so that
- it can be optimized differently from the negative binomial in
- future.
-
- e.g. if n < 10 it might be faster to generate the Pascal
- distributions as the sum of geometric variates directly. */
-
- unsigned int k = gsl_ran_negative_binomial (r, p, (double) n);
- return k;
- }
-
- double
- gsl_ran_pascal_pdf (const unsigned int k, const double p, unsigned int n)
- {
- double P = gsl_ran_negative_binomial_pdf (k, p, (double) n);
- return P;
- }
-