文章基本信息

标题：The Zografos-Balakrishnan Log-Logistic Distribution: Properties and Applications
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作者：Manoel Wallace A. Ramos ; Gauss M. Cordeiro ; Pedro Rafael D. Marinho 等
期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2013
卷号：12
期号：3
页码：227-246
DOI：10.2991/jsta.2013.12.3.2
语种：English
出版社：Atlantis Press
摘要：The log-logistic distribution (also known as the Fisk distribution in economics) is widely used in survival analysis when the failure rate function presents a unimodal shape. In this paper, we introduce the Zografos- Balakrishnan log-logistic distribution, which contains the log-logistic distribution as a special model and has the four common shapes of the hazard hate function. We present some properties of the new distribution and estimate the model parameters by maximum likelihood. An application to a real data set shows that the new distribution can provide a better fit than other classical lifetime models such as the exponentiated Weibull distribution.
关键词：Estimation; Generating function; Log-logistic distribution; Mean deviation; Moment; Zografos- Balakrishnan log-logistic distribution