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

Document Type : Original Article



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


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.


Main Subjects

Articles in Press, Accepted Manuscript
Available Online from 15 September 2023
  • Receive Date: 28 March 2023
  • Revise Date: 03 September 2023
  • Accept Date: 15 September 2023