Exponential and related distributions occur in a variety of contexts, such as reliability and communication. As such, a large number of extensions and variations of exponential distributions are frequently used.

Exponential and Related Distributions

ExponentialDistribution — exponentially decreasing PDF

LaplaceDistribution  ▪  LindleyDistribution  ▪  LogisticDistribution  ▪  RayleighDistribution  ▪  SechDistribution  ▪  ExponentialPowerDistribution  ▪  ShiftedGompertzDistribution

Phase-Type Distributions

ErlangDistribution — sum of identical exponential distributions (phases)

HypoexponentialDistribution — sum of different exponential distributions (phases)

HyperexponentialDistribution  ▪  CoxianDistribution

Gamma and Related Distributions

GammaDistribution — generalized sum of exponential distributions

InverseGammaDistribution  ▪  LogGammaDistribution  ▪  ExpGammaDistribution  ▪  NakagamiDistribution  ▪  ChiDistribution  ▪  MaxwellDistribution  ▪  MoyalDistribution  ▪  VarianceGammaDistribution  ▪  MeixnerDistribution  ▪  TsallisQExponentialDistribution