UniformDiscreteDistribution Class

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

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

// Create an uniform (discrete) distribution in [2, 6] 
var dist = new UniformDiscreteDistribution(a: 2, b: 6);

// Common measures
double mean = dist.Mean;     // 4.0
double median = dist.Median; // 4.0
double var = dist.Variance;  // 1.3333333333333333

// Cumulative distribution functions
double cdf = dist.DistributionFunction(k: 2);               // 0.2
double ccdf = dist.ComplementaryDistributionFunction(k: 2); // 0.8

// Probability mass functions
double pmf1 = dist.ProbabilityMassFunction(k: 4); // 0.2
double pmf2 = dist.ProbabilityMassFunction(k: 5); // 0.2
double pmf3 = dist.ProbabilityMassFunction(k: 6); // 0.2
double lpmf = dist.LogProbabilityMassFunction(k: 2); // -1.6094379124341003

// Quantile function
int icdf1 = dist.InverseDistributionFunction(p: 0.17); // 2
int icdf2 = dist.InverseDistributionFunction(p: 0.46); // 4
int icdf3 = dist.InverseDistributionFunction(p: 0.87); // 6

// Hazard (failure rate) functions
double hf = dist.HazardFunction(x: 4); // 0.5
double chf = dist.CumulativeHazardFunction(x: 4); // 0.916290731874155

// String representation
string str = dist.ToString(CultureInfo.InvariantCulture); // "U(x; a = 2, b = 6)"