HypergeometricDistribution Class

[SerializableAttribute]
public class HypergeometricDistribution : UnivariateDiscreteDistribution, 
	IFittableDistribution<double, HypergeometricOptions>, IFittable<double, HypergeometricOptions>, 
	IFittable<double>, IFittableDistribution<double>, IDistribution<double>, 
	IDistribution, ICloneable

<SerializableAttribute>
Public Class HypergeometricDistribution
	Inherits UnivariateDiscreteDistribution
	Implements IFittableDistribution(Of Double, HypergeometricOptions), 
	IFittable(Of Double, HypergeometricOptions), IFittable(Of Double), 
	IFittableDistribution(Of Double), IDistribution(Of Double), IDistribution, 
	ICloneable

// Distribution parameters
int populationSize = 15; // population size N
int success = 7;         // number of successes in the sample  
int samples = 8;         // number of samples drawn from N

// Create a new Hypergeometric distribution with N = 15, n = 8, and s = 7
var dist = new HypergeometricDistribution(populationSize, success, samples);

// Common measures
double mean   = dist.Mean;     // 1.3809523809523812
double median = dist.Median;   // 4.0
double var    = dist.Variance; // 3.2879818594104315
double mode   = dist.Mode;     // 4.0

// Cumulative distribution functions
double cdf = dist.DistributionFunction(k: 2);               // 0.80488799999999994
double ccdf = dist.ComplementaryDistributionFunction(k: 2); // 0.19511200000000006

// Probability mass functions
double pdf1 = dist.ProbabilityMassFunction(k: 4); // 0.38073038073038074
double pdf2 = dist.ProbabilityMassFunction(k: 5); // 0.18275058275058276
double pdf3 = dist.ProbabilityMassFunction(k: 6); // 0.030458430458430458
double lpdf = dist.LogProbabilityMassFunction(k: 2); // -2.3927801721315989

// Quantile function
int icdf1 = dist.InverseDistributionFunction(p: 0.17); // 3
int icdf2 = dist.InverseDistributionFunction(p: 0.46); // 4
int icdf3 = dist.InverseDistributionFunction(p: 0.87); // 5

// Hazard (failure rate) functions
double hf = dist.HazardFunction(x: 4); // 1.7753623188405792
double chf = dist.CumulativeHazardFunction(x: 4); // 1.5396683418789763

// String representation
string str = dist.ToString(CultureInfo.InvariantCulture); // "HyperGeometric(x; N = 15, m = 7, n = 8)"