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

Related Guides

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