文章基本信息

标题：A New Flexible Discrete Distribution with Applications to Count Data
本地全文：下载
作者：Anwar Hassan ; Gulzar Ahmad Shalbaf ; Sheikh Bilal 等
期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2020
卷号：19
期号：1
页码：102-108
DOI：10.2991/jsta.d.200224.006
语种：English
出版社：Atlantis Press
摘要：In this paper we have explored a new discrete probability mass function that has been generated through compounding mechanism. This newly proposed probability mass function is essentially a mixture of Poisson and Ailamujia distribution. Furthermore the parameter estimation has also been discussed by using Maximum likelihood estimation (MLE) technique. Moreover, we have also studied some important properties of the proposed model that include factorial moments, raw moments, mean, variance, and coefficient of variation. In the end, the application and potentiality of the proposed model have been tested statistically and it has been shown that the proposed model can be employed to model a real life data set to get an adequate fit that has also corroborated through graphically.
关键词：Poisson distribution; Ailamujia distribution; Count data