On some aspects of a zero-inflated overdispersed model and its applications

C. Satheesh Kumar and Rakhi Ramachandran

Journal of Applied Statistics, 2020, vol. 47, issue 3, 506-523

Abstract: Count data with excess zeros are so common in several areas of scientific research. In particular, the zero-inflated version of count data models has been used for modelling data sets with excessive number of zeros. In this regard, zero-inflated Poisson distribution has received much attention in the literature. Through this paper, we propose a generalized class of zero-inflated Poisson distribution namely ‘zero-inflated Hermite distribution (ZIHD)’, which can be considered as a more flexible class of zero-inflated Poisson-type distribution suitable for tackling overdispersed data sets. Here we investigate several important properties of the ZIHD along with a discussion on certain inference aspects of the model. Certain test procedures for checking zero-inflation have also been developed and these tests have been investigated by using simulation studies. Further, two real life data applications are given for illustrating the usefulness of the model.

Date: 2020
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DOI: 10.1080/02664763.2019.1645098

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