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/* cdf/negbinom.c
*
* Copyright (C) 2004 Jason H. Stover.
*
* 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., 59 Temple Place, Suite 330, Boston, MA 02111-1307, USA.
*/
#include <config.h>
#include <math.h>
#include <gsl/gsl_math.h>
#include <gsl/gsl_errno.h>
#include <gsl/gsl_cdf.h>
#include "error.h"
/*
* Pr(X <= k) for a negative binomial random variable X, i.e.,
* the probability of k or fewer failuers before success n.
*/
double
gsl_cdf_negative_binomial_P (const unsigned int k, const double p, const double n)
{
double P;
double a;
double b;
if (p > 1.0 || p < 0.0)
{
CDF_ERROR ("p < 0 or p > 1", GSL_EDOM);
}
if (n < 0)
{
CDF_ERROR ("n < 0", GSL_EDOM);
}
a = (double) n;
b = (double) k + 1.0;
P = gsl_cdf_beta_P (p, a, b);
return P;
}
/*
* Pr ( X > k ).
*/
double
gsl_cdf_negative_binomial_Q (const unsigned int k, const double p, const double n)
{
double Q;
double a;
double b;
if (p > 1.0 || p < 0.0)
{
CDF_ERROR ("p < 0 or p > 1", GSL_EDOM);
}
if (n < 0)
{
CDF_ERROR ("n < 0", GSL_EDOM);
}
a = (double) n;
b = (double) k + 1.0;
Q = gsl_cdf_beta_Q (p, a, b);
return Q;
}
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