HyperexponentialDistribution

HyperexponentialDistribution[{α1,,αm},{λ1,,λm}]
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.
Introduced in 2012
(9.0)