LaplaceDistribution Class

public class LaplaceDistribution : UnivariateContinuousDistribution, 
	IFormattable

Public Class LaplaceDistribution
	Inherits UnivariateContinuousDistribution
	Implements IFormattable

// Create a new Laplace distribution with μ = 4 and b = 2
var laplace = new LaplaceDistribution(location: 4, scale: 2);

// Common measures
double mean = laplace.Mean;     // 4.0
double median = laplace.Median; // 4.0
double var = laplace.Variance;  // 8.0

// Cumulative distribution functions
double cdf = laplace.DistributionFunction(x: 0.27);               // 0.077448104942453522
double ccdf = laplace.ComplementaryDistributionFunction(x: 0.27); // 0.92255189505754642
double icdf = laplace.InverseDistributionFunction(p: cdf);        // 0.27

// Probability density functions
double pdf = laplace.ProbabilityDensityFunction(x: 0.27);     //  0.038724052471226761
double lpdf = laplace.LogProbabilityDensityFunction(x: 0.27); // -3.2512943611198906

// Hazard (failure rate) functions
double hf = laplace.HazardFunction(x: 0.27); // 0.041974931360160776
double chf = laplace.CumulativeHazardFunction(x: 0.27); // 0.080611649844768624

// String representation
string str = laplace.ToString(CultureInfo.InvariantCulture); // Laplace(x; μ = 4, b = 2)