期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2018
卷号：14
期号：4
页码：759-779
DOI：10.18187/pjsor.v14i4.2527
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：In this work, we introduce a new class of continuous distributions called the generalized poisson family which extends the quadratic rank transmutation map. We provide some special models for the new family. Some of its mathematical properties including Rényi and q-entropies, order statistics and characterizations are derived. The estimations of the model parameters is performed by maximum likelihood method. The Monte Carlo simulations is used for assessing the performance of the maximum likelihood estimators. The ‡exibility of the proposed family is illustrated by means of two applications to real data sets.
