On Zero-inflated Extended Alternative Hyper Poisson Distribution and its Applications

Document Type : Original Article

Authors
Chandrasekharannair Satheesh Kumar
Rakhi Ramachandran
Department of Statistics, University of Kerala, Thiruvananthapuram - 695 581, India.
10.22034/jirss.2024.707642
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 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
Subjects
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Journal of the Iranian Statistical Society
Volume 22, Issue 1
June 2023
Pages 137-160

  • Receive Date 28 March 2023
  • Revise Date 03 September 2023
  • Accept Date 15 September 2023