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CoxianDistribution

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Coxian phase-type distribution

CoxianDistribution[{α 1, …, α m - 1}, {λ 1, …, λ m}]
Mean[CoxianDistribution[{Subscript[α, 1], Subscript[α, 2]}, {Subscript[λ, 1], Subscript[λ, 2], Subscript[λ, 3]}]]//Together → (Subscript[α, 1]*Subscript[α, 2]*Subscript[λ, 1]*Subscript[λ, 2] + Subscript[α, 1]*Subscript[λ, 1]*Subscript[λ, 3] + Subscript[λ, 2]*Subscript[λ, 3])/(Subscript[λ, 1]*Subscript[λ, 2]*Subscript[λ, 3])Plot[Table[PDF[CoxianDistribution[α, {.2, 1.2, .8}], x], {α, {{.6, .4}, {.3, .9}, {.1, .7}}}]//Evaluate, {x, 0, 6}, Filling -> Axis] → -Graphics-Plot[Table[CDF[CoxianDistribution[α, {.2, 1.2, .8}], x], {α, {{.6, .4}, {.3, .9}, {.1, .7}}}]//Evaluate, {x, 0, 6}, Filling -> Axis] → -Graphics-

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