Smooth tests for the zero-inflated poisson distribution.
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.
Thas
Olivier
O
Department of Applied Mathematics, Biometrics and Process Control, Ghent University, B-9000 Ghent, Belgium. olivier.thas@UGent.be
Rayner
J C W
JC
D000818:Animals; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D005324:Fetal Movement / Q000502:physiology; D016012:Poisson Distribution; D012044:Regression Analysis; D012756:Sheep / Q000196:embryology