Document Type : Original Article

Authors

• C. SATHEESH KUMAR ¹
• Rakhi Ramachandran ²

¹ READER

² Department of Statistics, University of Kerala, Kariavattom, Trivandrum

Abstract

In this paper we propose a zero-inflated version of the extended alternative hyper-Poisson distribution of Kumar and Nair (2013b) and investigate some of its important properties and applications. We derive expressions for its probability generating function, mean, variance, etc. along with recursion formulae for probabilities, raw moments and factorial moments. The identifiability condition of the model is also derived. The estimation of the parameters of the distribution is also attempted and it has been fitted to certain real life data sets for highlighting its practical relevance. Further, generalized likelihood ratio test procedure is applied for examining the significance of the parameters of the model and a simulation study is conducted for assessing the performance of the maximum likelihood estimators of the parameters of the distribution.

Keywords

• Count data modeling
• Generalized Hermite distribution
• Generalized
• likelihood ratio test
• Simulation
• zero-inflated Hermite distribution

Main Subjects

• Statistical Modelling