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

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 d...

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Bibliographic Details
Main Authors: Sim, Shin Zhu, Gupta, Ramesh C., Ong, Seng Huat
Format: Article
Published: De Gruyter 2018
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Online Access:http://eprints.um.edu.my/20656/
https://doi.org/10.1515/ijb-2016-0070
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Institution: Universiti Malaya
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Summary: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.