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Smooth Tests for the Zero‐Inflated Poisson Distribution
Author(s) -
Thas Olivier,
Rayner J. C. W.
Publication year - 2005
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.1541-0420.2005.00351.x
Subject(s) - zero inflated model , poisson distribution , goodness of fit , null hypothesis , test statistic , mathematics , statistics , statistical hypothesis testing , statistic , null distribution
Summary 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.