mir.stat.distribution.hypergeometric

This module contains algorithms for the Hypergeometric Distribution.

There are multiple alternative parameterizations of the Hypergeometric Distribution. The formulation in this module measures the number of draws (k) with a specific feature in n total draws without replacement from a population of size N such that K of these have the feature of interest.

Hypergeometric distribution functions can utilize different algorithms. The default is HypergeometricAlgo.direct, which can be more time-consuming for large values of the parameters. Additional algorithms are provided to the user to choose the trade-off between running time and accuracy.

Members

Enums

HypergeometricAlgo enum HypergeometricAlgo: Algorithms used to calculate hypergeometric distribution.

Functions

fp_hypergeometricPMF T fp_hypergeometricPMF(size_t k, size_t N, size_t K, size_t n): Computes the hypergeometric probability mass function (PMF) with extended floating point types (e.g. Fp!128), which provides additional accuracy for large values of k, N, K, or n.
hypergeometricCCDF T hypergeometricCCDF(size_t k, size_t N, size_t K, size_t n): Computes the hypergeometric complementary cumulative distribution function (CCDF).
hypergeometricCDF T hypergeometricCDF(size_t k, size_t N, size_t K, size_t n): Computes the hypergeometric cumulative distribution function (CDF).
hypergeometricInvCDF size_t hypergeometricInvCDF(T p, size_t N, size_t K, size_t n): Computes the hypergeometric inverse cumulative distribution function (InvCDF).
hypergeometricLPMF T hypergeometricLPMF(size_t k, size_t N, size_t K, size_t n): Computes the hypergeometric log probability mass function (LPMF).
hypergeometricPMF T hypergeometricPMF(size_t k, size_t N, size_t K, size_t n): Computes the hypergeometric probability mass function (PMF).

Templates

hypergeometricCCDF template hypergeometricCCDF(HypergeometricAlgo hypergeometricAlgo = HypergeometricAlgo.direct)
template hypergeometricCCDF(T, string hypergeometricAlgo)
template hypergeometricCCDF(string hypergeometricAlgo): Computes the hypergeometric complementary cumulative distribution function (CCDF).
hypergeometricCDF template hypergeometricCDF(HypergeometricAlgo hypergeometricAlgo = HypergeometricAlgo.direct)
template hypergeometricCDF(T, string hypergeometricAlgo)
template hypergeometricCDF(string hypergeometricAlgo): Computes the hypergeometric cumulative distribution function (CDF).
hypergeometricInvCDF template hypergeometricInvCDF(T, string hypergeometricAlgo)
template hypergeometricInvCDF(string hypergeometricAlgo): Computes the hypergeometric inverse cumulative distribution function (InvCDF).
hypergeometricPMF template hypergeometricPMF(HypergeometricAlgo hypergeometricAlgo = HypergeometricAlgo.direct)
template hypergeometricPMF(T, string hypergeometricAlgo)
template hypergeometricPMF(string hypergeometricAlgo): Computes the hypergeometric probability mass function (PMF).

The OpenD Programming Language

mir.stat.distribution.hypergeometric

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