HyperexponentialDistribution

HyperexponentialDistribution[{1, ..., m}, {1, ..., m}]
represents an m-phase hyperexponential distribution with phase probabilities and rates .

DetailsDetails

  • HyperexponentialDistribution is also known as a mixed exponential or parallel m-phase exponential distribution.
  • An m-phase hyperexponential distribution can be interpreted as having m servers in parallel where the i^(th) server has service rate and is picked with probability .
  • The probability density for value in an exponential distribution is for , and is zero for .
  • HypoexponentialDistribution allows to be any non-negative numbers such that and to be any positive real numbers.
  • HyperexponentialDistribution can be used with such functions as Mean, CDF, and RandomVariate.

ExamplesExamplesopen allclose all

Basic Examples (4)Basic Examples (4)

Probability density function:

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Cumulative distribution function:

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Mean:

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Variance:

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Median can be found numerically:

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