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Hyper-Erlang distribution

Continuous probability distribution From Wikipedia, the free encyclopedia

Hyper-Erlang distribution
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In probability theory, a hyper-Erlang distribution is a continuous probability distribution which takes a particular Erlang distribution Ei with probability pi. A hyper-Erlang distributed random variable X has a probability density function given by

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Diagram showing queueing system equivalent of a hyper-Erlang distribution

where each pi > 0 with the pi summing to 1 and each of the Eli being an Erlang distribution with li stages each of which has parameter λi.[1][2][3]

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