Detecting Departures From A Poisson Model

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS（1998）

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摘要

Poisson models can be widely used for analyzing count data and belong to some broad classes of discrete distributions such as a Katz family, a double exponential family and a family of discrete distributions with a finite first moment. Several procedures for testing goodness of fit of a Poisson model against these classes are discussed and simulations are conducted to compare their performance for detecting departures from Poisson models.

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关键词

Poisson model, Katz family, double exponential family, probability generating function, overdispersion, underdispersion

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