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Smooth tests for the zero-inflated poisson distribution.

Olivier Thas·J C W Rayner
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Abstract

In this article we construct three smooth goodness-of-fit tests for testing for the zero-inflated Poisson (ZIP) distribution against general smooth alternatives in the sense of Neyman. We apply our tests to a data set previously claimed to be ZIP distributed, and show that the ZIP is not a good model to describe the data. At rejection of the null hypothesis of ZIP, the individual components of the test statistic, which are directly related to interpretable parameters in a smooth model, may be used to gain insight into an alternative distribution.

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AnimalsComputer SimulationData Interpretation, StatisticalFetal MovementPoisson DistributionRegression AnalysisSheepComparative StudyJournal Article

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Olivier Thas, J C W Rayner. 2005. Smooth tests for the zero-inflated poisson distribution.. https://doi.org/10.1111/j.1541-0420.2005.00351.x

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