CDF_inv — Hypergeometric

Evaluates the inverse of the hypergeometric cumulative density function.

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Interface

#include <codecogs/statistics/distributions/discrete/hypergeometric/cdf_inv.h>

using namespace Statistics::Distributions::Discrete::Hypergeometric;

int CDF_inv(double p, int a, int b, int n)

This function evaluates the inverse of the hypergeometric cumulative density function.

\graph p=0:1:20 a=2 b=3 n=2:5:2

Example 1

#include <iostream>
#include <codecogs/statistics/distributions/discrete/hypergeometric/cdf_inv.h>

int main()
{
  std::cout << "hypergeometric CDF inverse (0.9, 2, 3, 2) = ";
  std::cout << Statistics::Distributions::Discrete::Hypergeometric::CDF_inv(0.9, 2, 3, 2) << std::endl;
  return 0;
}

Output:

hypergeometric CDF inverse (0.9, 2, 3, 2) = 1

Parameters

the target cumulative probability, 0 <= p <= 1

the number of type-A items in the population

the number of type-B items in the population

the sample size (number of items drawn from the population, without replacement)

Returns

the smallest x such that P(X <= x) >= p, where X follows the hypergeometric distribution

Interactive Calculator

Result –