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LindleyDistribution

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Lindley distribution (Mean Variance and exponential PDF/CDF on positive reals)

LindleyDistribution[δ]
Mean[LindleyDistribution[δ]] → (2 + δ)/(δ*(1 + δ))PDF[LindleyDistribution[δ], x] → Piecewise[{{((1 + x)*δ^2)/(E^(x*δ)*(1 + δ)), x > 0}}, 0]CDF[LindleyDistribution[δ], x] → Piecewise[{{1 - (1 + δ + x*δ)/(E^(x*δ)*(1 + δ)), x > 0}}, 0]

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