期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2019
卷号：15
期号：1
页码：1-24
DOI：10.18187/pjsor.v15i1.2166
出版社：College of Statistical and Actuarial Sciences
摘要：In this paper, we propose a new class of continuous distributions called the exponentiated generalized Topp Leone-G family that extends the Topp Leone-G family introduced by Al-Shomrani et al. (2016). We derive explicit expressions for certain mathematical properties of the new family such as; ordinary and incomplete moments, generating functions, reliability analysis, Lorenz and Bonferroni curves, Rényi entropy, stress strength model, moment of residual and reversed residual life, order statistics and extreme values. We discuss the maximum likelihood estimates and the observed information matrix for the model parameters. Two real data sets are used to illustrate the flexibility of the new family.
关键词：Exponentiated generalized-G family; Maximum likelihood estimation;
Moments; Order statistics; Topp leone-G family
其他关键词：Exponentiated Generalized-G family; Maximum Likelihood Estimation; Moments; Order Statistics; Topp Leone-G family
