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PoissonConsulDistribution

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Generalized Consul-Poisson distribution with PDF Mean and Variance

PoissonConsulDistribution[μ, λ]
Mean[PoissonConsulDistribution[μ, λ]] → μ/(1 - λ)PDF[PoissonConsulDistribution[μ, λ], x] → Piecewise[{{(E^(-(x*λ) - μ)*(x*λ + μ)^(-1 + x)*μ)/x!, x >= 0}}, 0]Variance[PoissonConsulDistribution[μ, λ]] → μ/(1 - λ)^3
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