文章基本信息

标题：The Transmuted Topp-Leone G Family of Distributions: Theory, Characterizations and Applications
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作者：Haitham M. Yousof ; Morad Alizadeh ; S. M. A. Jahanshahi 等
期刊名称：Journal of Data Science
印刷版ISSN：1680-743X
电子版ISSN：1683-8602
出版年度：2017
卷号：15
期号：4
页码：723-740
出版社：Tingmao Publish Company
摘要：In this paper, we introduce a new family of continuous distributions calledthe transmuted Topp-Leone G family which extends the transmuted class pioneeredby Shaw and Buckley (2007). Some of its mathematical properties includingprobability weighted moments, mo- ments, generating functions, order statistics,incomplete moments, mean deviations, stress- strength model, moment of residualand reversed residual life are studied. Some useful char- acterizations results basedon two truncated moments as well as based on hazard function are presented. Themaximum likelihood method is used to estimate its parameters. The Monte Carlosimulation is used for assessing the performance of the maximum likelihoodestimators. The usefulness of the new model is illustrated by means of two real dataset.