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In probability theory, a hyper-Erlang distribution is a continuous probability distribution which takes a particular Erlang distribution E''i'' with probability ''p''''i''. A hyper-Erlang distributed random variable ''X'' has a probability density function given by
:
where each ''p''''i'' > 0 with the ''p''''i'' summing to 1 and each of the E''l''''i'' being an Erlang distribution with ''l''''i'' stages each of which has parameter ''λ''''i''.
In probability theory, a hyper-Erlang distribution is a continuous probability distribution which takes a particular Erlang distribution E''i'' with probability ''p''''i''. A hyper-Erlang distributed random variable ''X'' has a probability density function given by
:
where each ''p''''i'' > 0 with the ''p''''i'' summing to 1 and each of the E''l''''i'' being an Erlang distribution with ''l''''i'' stages each of which has parameter ''λ''''i''.
See also
*Phase-type distribution
A phase-type distribution is a probability distribution constructed by a convolution or mixture of exponential distributions. It results from a system of one or more inter-related Poisson processes occurring in sequence, or phases. The sequence ...
References
{{ProbDistributions, continuous-semi-infinite Continuous distributions