文章基本信息

标题：A New Gamma Generalized Lindley-Loglogistic Distribution with Applications
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作者：Thatayaone Moakofi ; Broderick Oluyede ; Boikanyo Makubate 等
期刊名称：Afrika Statistika
印刷版ISSN：0825-0305
出版年度：2020
卷号：15
期号：4
页码：2451-2481
DOI：10.16929/as/2020.2481.169
出版社：African Journals Online
摘要：A new distribution called the gamma exponentiated Lindley Log-logistic (GELLLoG) distribution is developed. Some properties of the new distribution including hazard function, quantile function, moments, conditional moments, mean and median deviations, Bonferroni and Lorenz curves, distribution of the order statistics and Renyi entropy are derived. Maximum likelihood estimation technique ´ is used to estimate the model parameters. We conduct a simulation study to examine the bias and mean square error of the maximum likelihood estimators. Finally, applications to real datasets to illustrate the usefulness of the proposed distribution are presented.
关键词：Gamma distribution;Lindley distribution;Exponentiated distribution;Log-logistic distribution;Generalized distribution;Maximum likelihood estimation.