Zero-inflated Conway-Maxwell Poisson Distribution to Analyze Discrete Data
Document Type
Article
Publication Date
1-1-2018
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
Divisions
MathematicalSciences
Funders
Ministry of Higher Education, Malaysia [FP045-2015A],University of Malaya’s Research Grant Scheme [RP009A-13AFR]
Publication Title
The International Journal of Biostatistics
Volume
14
Issue
1
Publisher
De Gruyter