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ErlangDistribution

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Erlang probability distribution equivalent to GammaDistribution with a rate parameter

ErlangDistribution[k, λ]
Mean[ErlangDistribution[k, λ]] → k/λPDF[ErlangDistribution[k, λ], x] → Piecewise[{{x^(-1 + k)/(E^(x*λ)*λ^(-1)^k*Gamma[k]), x > 0}}, 0]CDF[ErlangDistribution[k, λ], x] → Piecewise[{{GammaRegularized[k, 0, x*λ], x > 0}}, 0]

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