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2.1.24.5.1.9 hygecdf

1 Description
2 Syntax
3 Parameters
4 Return
5 Examples
6 Remark
7 See Also
8 Header to Include
9 Reference

Description

Hypergeometric distribution cdf. Computes the probabilities in given value , associated with a hypergeometric distribution

The lower tailed probability of the hypergeometric distribution

\[P(X\leq k)=\sum_{i=0}^kP(X=i)=\sum_{i=0}^k\frac {{m \choose i}{n-m \choose l-i} }{{n \choose l} }\]

where

\(n\): The population size
\(m\): The number of success states in the population
\(l\): The number of samples drawn

Syntax

double hygecdf( const int iK, int m, int n, int l, int iTail = TAILED_TEST_DISC_LOWER, int * nFail = NULL )

Parameters

iK: [input] integer k which defines the required probabilities.
m: [input] parameter m of the hypergeometric distribution.
n: [input] parameter n of the hypergeometric distribution.
l: [input] parameter l of the hypergeometric distribution.
iTail: [input] int,; TAILED_TEST_DISC_LOWER. lower tail. .; TAILED_TEST_DISC_UPPER. upper tail. .; TAILED_TEST_DISC_POINT. point probability. .
nFail: [output] on successful exit, it returns the NAG error code NE_NOERROR; if an error or warning has been detected, then it returns the specific error or warning code.

Return

Returns Hypergeometric distribution cdf

Examples

EX1

void hygecdf_ex1()
{
	double iK[]= {2, 5, 10};
	int m= 20, n=100, l=10;
	for(int ii = 0; ii<3; ii++)
		printf("%f:	%f\n", iK[ii], hygecdf(iK[ii],m,n,l));
}

Remark

Header to Include

origin.h