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Logarithmic Distribution

(discrete probability dist. for equations)

 

Usage:

LogarithmicDist (k, p)

Definition:

-(p^k)/ (k log (1-p))

Required:

0 < p < 1     k integer

 

Support:

k ⋝ 1

Moments:

μ = - p / [(1 - p) log (1 - p)]

σ^2 = - p (p + log (1 - p)) / [(1 - p) log (1 - p)]^2 

Also known as the "logarithmic series distribution".


 

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