Output of file : NBDTR.C contained in archive : CEPHES22.ZIP
/* nbdtr.c
*
* Negative binomial distribution
*
*
*
* SYNOPSIS:
*
* int k, n;
* double p, y, nbdtr();
*
* y = nbdtr( k, n, p );
*
*
*
* DESCRIPTION:
*
* Returns the sum of the terms 0 through k of the negative
* binomial distribution:
*
* k
* -- ( n+j-1 ) n j
* > ( ) p (1-p)
* -- ( j )
* j=0
*
* In a sequence of Bernoulli trials, this is the probability
* that k or fewer failures precede the nth success.
*
* The terms are not computed individually; instead the incomplete
* beta integral is employed, according to the formula
*
* y = nbdtr( k, n, p ) = incbet( n, k+1, p ).
*
* The arguments must be positive, with p ranging from 0 to 1.
*
*
*
* ACCURACY:
*
* See incbet.c.
*
*/
/* nbdtrc.c
*
* Complemented negative binomial distribution
*
*
*
* SYNOPSIS:
*
* int k, n;
* double p, y, nbdtrc();
*
* y = nbdtrc( k, n, p );
*
*
*
* DESCRIPTION:
*
* Returns the sum of the terms k+1 to infinity of the negative
* binomial distribution:
*
* inf
* -- ( n+j-1 ) n j
* > ( ) p (1-p)
* -- ( j )
* j=k+1
*
* The terms are not computed individually; instead the incomplete
* beta integral is employed, according to the formula
*
* y = nbdtrc( k, n, p ) = incbet( k+1, n, 1-p ).
*
* The arguments must be positive, with p ranging from 0 to 1.
*
*
*
* ACCURACY:
*
* See incbet.c.
*
*/

/*
Cephes Math Library Release 2.0: April, 1987
Copyright 1984, 1987 by Stephen L. Moshier
Direct inquiries to 30 Frost Street, Cambridge, MA 02140
*/

#include "mconf.h"

double nbdtrc( k, n, p )
int k, n;
double p;
{
double dk, dn;
double incbet();

if( (p < 0.0) || (p > 1.0) )
goto domerr;
if( k < 0 )
{
domerr:
mtherr( "nbdtr", DOMAIN );
return( 0.0 );
}

dk = k+1;
dn = n;
return( incbet( dk, dn, 1.0 - p ) );
}

double nbdtr( k, n, p )
int k, n;
double p;
{
double dk, dn;
double incbet();

if( (p < 0.0) || (p > 1.0) )
goto domerr;
if( k < 0 )
{
domerr:
mtherr( "nbdtr", DOMAIN );
return( 0.0 );
}
dk = k+1;
dn = n;
return( incbet( dn, dk, p ) );
}

3 Responses to “Category : C Source CodeArchive   : CEPHES22.ZIPFilename : NBDTR.C”

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