Altun Emrah, Cordeiro Gauss M, Ristić Miroslav M
Department of Mathematics, Bartin University, Bartin, Turkey.
Department of Statistics, Federal University of Pernambuco, Recife, Brazil.
J Appl Stat. 2021 Feb 9;49(8):1935-1956. doi: 10.1080/02664763.2021.1884846. eCollection 2022.
In this study, a new one-parameter discrete distribution obtained by compounding the Poisson and xgamma distributions is proposed. Some statistical properties of the new distribution are obtained including moments and probability and moment generating functions. Two methods are used for the estimation of the unknown parameter: the maximum likelihood method and the method of moments. Additionally, the count regression model and integer-valued autoregressive process of the proposed distribution are introduced. Some possible applications of the introduced models are considered and discussed.
在本研究中，提出了一种通过复合泊松分布和x伽马分布得到的新的单参数离散分布。得到了新分布的一些统计性质，包括矩、概率和矩生成函数。使用两种方法估计未知参数：最大似然法和矩估计法。此外，还介绍了所提出分布的计数回归模型和整数值自回归过程。考虑并讨论了所引入模型的一些可能应用。
