Topic: Geometric and Count Distributions

The Hypergeometric Mean from Draw Indicators

The Binomial Limit of Hypergeometric Sampling

Poisson Recurrence, Mode, and Tail Computation

Poisson Probabilities, Mean, and Variance

Poisson Counts and the Rate Parameter

Poisson Approximation for Rare Binomial Events

Negative-Binomial Tails as Binomial Probabilities

Negative Dependence and Hypergeometric Variance

Negative-Binomial Moments from Independent Waiting Times

Negative-Binomial Parameterizations for Failures and Trials