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LogSeriesDistribution

Logarithmic series distribution with parameter θ (support k ≥ 1).

$ wo 'LogSeriesDistribution[1/2]'
LogSeriesDistribution[1/2]

Probability mass function:

$ wo 'PDF[LogSeriesDistribution[1/2], 3]'
1/(24*Log[2])

Mean and variance:

$ wo 'Mean[LogSeriesDistribution[t]]'
-(t/((1 - t)*Log[1 - t]))
$ wo 'Variance[LogSeriesDistribution[t]]'
-((t*(t + Log[1 - t]))/((-1 + t)^2*Log[1 - t]^2))