NegativeBinomialDistribution Class

[SerializableAttribute]
public class NegativeBinomialDistribution : UnivariateDiscreteDistribution

<SerializableAttribute>
Public Class NegativeBinomialDistribution
	Inherits UnivariateDiscreteDistribution

// Create a new Negative Binomial distribution with r = 7 and p = 0.42
var dist = new NegativeBinomialDistribution(failures: 7, probability: 0.42);

// Common measures
double mean = dist.Mean;     // 5.068965517241379
double median = dist.Median; // 5.0
double var = dist.Variance;  // 8.7395957193816862

// Cumulative distribution functions
double cdf = dist.DistributionFunction(k: 2);               // 0.19605133020527743
double ccdf = dist.ComplementaryDistributionFunction(k: 2); // 0.80394866979472257

// Probability mass functions
double pmf1 = dist.ProbabilityMassFunction(k: 4); // 0.054786846293416853
double pmf2 = dist.ProbabilityMassFunction(k: 5); // 0.069908015870399909
double pmf3 = dist.ProbabilityMassFunction(k: 6); // 0.0810932984096639
double lpmf = dist.LogProbabilityMassFunction(k: 2); // -2.3927801721315989

// 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); // 8

// Hazard (failure rate) functions
double hf = dist.HazardFunction(x: 4); // 0.10490438293398294
double chf = dist.CumulativeHazardFunction(x: 4); // 0.64959916255036043

// String representation
string str = dist.ToString(CultureInfo.InvariantCulture); // "NegativeBinomial(x; r = 7, p = 0.42)"