Abstract

AbstractThe S‐distribution is defined by the ordinary differential equation dF/dX = α(Fg — Fh Fo = F(Xo), where F is the cumulative distribution of the random variable X, and α, g, h, and Fo are parameters. The S‐distribution was recently described in this journal as a tool for the approximation and classification of univariate, unimodal continuous probability distributions. This article shows that the S‐distribution rather accurately models the commonly used univariate discrete distributions.

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