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

Sim, Shin Zhu and Gupta, Ramesh C. and Ong, Seng Huat (2018) Zero-inflated Conway-Maxwell Poisson Distribution to Analyze Discrete Data. The International Journal of Biostatistics, 14 (1). p. 20160070. ISSN 1557-4679

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Official URL: https://doi.org/10.1515/ijb-2016-0070

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.

Item Type: Article
Uncontrolled Keywords: zero-inflation/deflation; structural zeros; Poisson; generalized Poisson; regression; score and likelihood ratio tests; over and under-dispersion
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 12 Mar 2019 01:25
Last Modified: 12 Mar 2019 01:25
URI: http://eprints.um.edu.my/id/eprint/20656

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