Zero-inflated Conway-Maxwell Poisson Distribution to Analyze Discrete Data

Sim Shin Zhu (), Gupta Ramesh C. () and Ong Seng Huat ()
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Sim Shin Zhu: Department of Mathematical and Actuarial Sciences, Universiti Tunku Abdul Rahman, Kajang43000, Selangor, Malaysia
Gupta Ramesh C.: Department of Mathematics and Statistics, University of Maine, Orono, ME 04469-5752USA
Ong Seng Huat: Institute of Mathematical Sciences, University of Malaya, Kuala Lumpur50603, Malaysia

The International Journal of Biostatistics, 2018, vol. 14, issue 1, 12

Abstract: In this paper, we study the zero-inflated Conway-Maxwell Poisson (ZICMP) distribution and develop a regression model. Score and likelihood ratio tests are also implemented for testing the inflation/deflation parameter. Simulation studies are carried out to examine the performance of these tests. A data example is presented to illustrate the concepts. In this example, the proposed model is compared to the well-known zero-inflated Poisson (ZIP) and the zero- inflated generalized Poisson (ZIGP) regression models. It is shown that the fit by ZICMP is comparable or better than these models.

Keywords: zero-inflation/deflation; structural zeros; Poisson; generalized Poisson; regression; score and likelihood ratio tests; over and under-dispersion (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1515/ijb-2016-0070

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