GeometricDistribution Class

[SerializableAttribute]
public class GeometricDistribution : UnivariateDiscreteDistribution, 
	IFittableDistribution<double, IFittingOptions>, IFittable<double, IFittingOptions>, 
	IFittable<double>, IFittableDistribution<double>, IDistribution<double>, 
	IDistribution, ICloneable, ISampleableDistribution<int>, IDistribution<int>, 
	IRandomNumberGenerator<int>

<SerializableAttribute>
Public Class GeometricDistribution
	Inherits UnivariateDiscreteDistribution
	Implements IFittableDistribution(Of Double, IFittingOptions), 
	IFittable(Of Double, IFittingOptions), IFittable(Of Double), 
	IFittableDistribution(Of Double), IDistribution(Of Double), IDistribution, 
	ICloneable, ISampleableDistribution(Of Integer), IDistribution(Of Integer), 
	IRandomNumberGenerator(Of Integer)

// Create a Geometric distribution with 42% success probability
var dist = new GeometricDistribution(probabilityOfSuccess: 0.42);

// Common measures
double mean   = dist.Mean;     // 1.3809523809523812
double median = dist.Median;   // 1.0
double var    = dist.Variance; // 3.2879818594104315
double mode   = dist.Mode;     // 0.0

// 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: 0); // 0.42
double pdf2 = dist.ProbabilityMassFunction(k: 1); // 0.2436
double pdf3 = dist.ProbabilityMassFunction(k: 2); // 0.141288
double lpdf = dist.LogProbabilityMassFunction(k: 2); // -1.956954918588067

// Quantile functions
int icdf1 = dist.InverseDistributionFunction(p: 0.17); // 0
int icdf2 = dist.InverseDistributionFunction(p: 0.46); // 1
int icdf3 = dist.InverseDistributionFunction(p: 0.87); // 3

// Hazard (failure rate) functions
double hf = dist.HazardFunction(x: 0); // 0.72413793103448265
double chf = dist.CumulativeHazardFunction(x: 0); // 0.54472717544167193

// String representation
string str = dist.ToString(CultureInfo.InvariantCulture); // "Geometric(x; p = 0.42)"