HyperexponentialDistribution
Khả dụng
Mixture of exponential distributions
HyperexponentialDistribution[{α 1, …, α m}, {λ 1, …, λ m}]
Mean[HyperexponentialDistribution[{Subscript[α, 1], Subscript[α, 2], Subscript[α, 3]}, {Subscript[λ, 1], Subscript[λ, 2], Subscript[λ, 3]}]]
→ Subscript[α, 1]/Subscript[λ, 1] + Subscript[α, 2]/Subscript[λ, 2] + Subscript[α, 3]/Subscript[λ, 3]PDF[HyperexponentialDistribution[{Subscript[α, 1], Subscript[α, 2], Subscript[α, 3]}, {Subscript[λ, 1], Subscript[λ, 2], Subscript[λ, 3]}], x]
→ Piecewise[{{(Subscript[α, 1]*Subscript[λ, 1])/E^(x*Subscript[λ, 1]) + (Subscript[α, 2]*Subscript[λ, 2])/E^(x*Subscript[λ, 2]) + (Subscript[α, 3]*Subscript[λ, 3])/E^(x*Subscript[λ, 3]), x >= 0}}, 0]CDF[HyperexponentialDistribution[{Subscript[α, 1], Subscript[α, 2], Subscript[α, 3]}, {Subscript[λ, 1], Subscript[λ, 2], Subscript[λ, 3]}], x]
→ Piecewise[{{1 - Subscript[α, 1]/E^(x*Subscript[λ, 1]) - Subscript[α, 2]/E^(x*Subscript[λ, 2]) - Subscript[α, 3]/E^(x*Subscript[λ, 3]), x >= 0}}, 0] Tất cả 6300 hàm ·
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