文章基本信息

标题：Transmuted Topp-Leone Weibull Lifetime Distribution Statistical Properties and Different Method of Estimation
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作者：Mohamed Ibrahim ; Haitham Yousof
期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2020
卷号：16
期号：3
页码：501-515
DOI：10.18187/pjsor.v16i3.2811
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：In this work we focus on proposing a new lifetime Weibull type model called the transmuted Topp-Leone Weibull and studying its properties. We derive some new bivariate and multivariate transmuted Topp-Leone Weibull versions using “Farlie Gumbel Morgenstern (FGM) Copula”, “modified FGM Copula”, “Clayton Copula” and “Renyi's entropy Copula”. The estimation of its unknown parameters is carried out by considering different method of estimation. The statistical performances of all methods are studied by two real data sets and a numerical Monte Carlo simulation. The Cramer-Von Mises method is the best method for modeling the carbon fibers data. The maximum likelihood method is the best method for modeling the Leukemia data, however all other methods performed well.
关键词：Weibull Distribution;Farlie Gumbel Morgenstern;Clayton Copula;Least Square;Topp-Leone;Likelihood Estimation;Weighted Least Square;Cramer-Von-Mises;Bootstrapping