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Smooth tests for the zero-inflated poisson distribution

Olivier Thas (UGent) and JCW Rayner
(2005) BIOMETRICS. 61(3). p.808-815
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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.
Keywords
Neyman smooth test, generalized score test, orthonormal polynomials, SCORE TEST, HYPOTHESIS, REGRESSION, MODEL

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Citation

Please use this url to cite or link to this publication:

Chicago
Thas, Olivier, and JCW Rayner. 2005. “Smooth Tests for the Zero-inflated Poisson Distribution.” Biometrics 61 (3): 808–815.
APA
Thas, O., & Rayner, J. (2005). Smooth tests for the zero-inflated poisson distribution. BIOMETRICS, 61(3), 808–815.
Vancouver
1.
Thas O, Rayner J. Smooth tests for the zero-inflated poisson distribution. BIOMETRICS. 2005;61(3):808–15.
MLA
Thas, Olivier, and JCW Rayner. “Smooth Tests for the Zero-inflated Poisson Distribution.” BIOMETRICS 61.3 (2005): 808–815. Print.
@article{338303,
  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.},
  author       = {Thas, Olivier and Rayner, JCW},
  issn         = {0006-341X},
  journal      = {BIOMETRICS},
  keywords     = {Neyman smooth test,generalized score test,orthonormal polynomials,SCORE TEST,HYPOTHESIS,REGRESSION,MODEL},
  language     = {eng},
  number       = {3},
  pages        = {808--815},
  title        = {Smooth tests for the zero-inflated poisson distribution},
  url          = {http://dx.doi.org/10.1111/j.1541-0420.2005.00351.x},
  volume       = {61},
  year         = {2005},
}

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