On Zero-inflated Extended Alternative Hyper Poisson Distribution and its Applications
نویسندگان
1 Department of Statistics, University of Kerala, Thiruvananthapuram - 695 581, India.
2 Department of Statistics, University of Kerala, Thiruvananthapuram - 695 581, India.
doi
10.22034/jirss.2024.707642چکیده
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.