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Exponential-Related Distributions—Wolfram Language Documentation

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• Functions
  • ChiDistribution
  • CoxianDistribution
  • ErlangDistribution
  • ExpGammaDistribution
  • ExponentialDistribution
  • ExponentialPowerDistribution
  • GammaDistribution
  • HyperexponentialDistribution
  • HypoexponentialDistribution
  • InverseGammaDistribution
  • LaplaceDistribution
  • LindleyDistribution
  • LogGammaDistribution
  • LogisticDistribution
  • MaxwellDistribution
  • MeixnerDistribution
  • MoyalDistribution
  • NakagamiDistribution
  • RayleighDistribution
  • SechDistribution
  • ShiftedGompertzDistribution
  • TsallisQExponentialDistribution
  • VarianceGammaDistribution
• Related Guides
  • Parametric Distributions
  • Random Variables
  • Reliability
  • Markov Processes
  • Queueing Processes

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.

ExponentialDistribution — exponentially decreasing PDF

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

ErlangDistribution — sum of identical exponential distributions (phases)

HypoexponentialDistribution — sum of different exponential distributions (phases)

HyperexponentialDistribution  ▪  CoxianDistribution

GammaDistribution — generalized sum of exponential distributions

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

▪
• Parametric Distributions
▪
• Random Variables
▪
• Reliability
▪
• Markov Processes
▪
• Queueing Processes

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