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LogLogisticDistribution

Log-logistic distribution with shape parameter g and scale s (support x > 0).

$ wo 'LogLogisticDistribution[2, 3]'
LogLogisticDistribution[2, 3]

Probability density function:

$ wo 'PDF[LogLogisticDistribution[2, 3], 1]'
9/50

Cumulative distribution function:

$ wo 'CDF[LogLogisticDistribution[2, 3], 1]'
1/10

Mean:

$ wo 'Mean[LogLogisticDistribution[g, s]]'
Piecewise[{{(Pi*s*Csc[Pi/g])/g, g > 1}}, Indeterminate]