文章基本信息

标题：The Exponentiated Burr XII Power Series Distribution: Properties and Applications
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作者：Arslan Nasir , Haitham M. Yousof , Farrukh Jamal ; Mustafa Ç. Korkmaz
期刊名称：Stats
电子版ISSN：2571-905X
出版年度：2019
卷号：2
期号：1
页码：15-31
DOI：10.3390/stats2010002
出版社：MDPI AG
摘要：In this work, we introduce a new Burr XII power series class of distributions, which is obtained by compounding exponentiated Burr XII and power series distributions and has a strong physical motivation. The new distribution contains several important lifetime models. We derive explicit expressions for the ordinary and incomplete moments and generating functions. We discuss the maximum likelihood estimation of the model parameters. The maximum likelihood estimation procedure is presented. We assess the performance of the maximum likelihood estimators in terms of biases, standard deviations, and mean square of errors by means of two simulation studies. The usefulness of the new model is illustrated by means of three real data sets. The new proposed models provide consistently better fits than other competitive models for these data sets.
关键词：Burr distribution; compounding; hazard rate; lifetime distribution; maximum likelihood method; power series distribution Burr distribution ; compounding ; hazard rate ; lifetime distribution ; maximum likelihood method ; power series distribution