文章基本信息

标题：A New Four-ParameterWeibull Model for Lifetime Data
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作者：Haitham M. Yousof ; Ahmed Z. Afify ; Gauss M. Cordeiro 等
期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2017
卷号：16
期号：4
页码：450-468
DOI：10.2991/jsta.2017.16.4.3
语种：English
出版社：Atlantis Press
摘要：We introduce a new four-parameter distribution with constant, decreasing, increasing, bathtub and upside-down bathtub failure rate called the transmuted exponentiated generalized Weibull model. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived. The estimation of the model parameters is performed by maximum likelihood. The flexibility of the new model is illustrated by means of three applications to real data.
关键词：Entropy;Exponentiated Generalized Family; Generating Function; Maximum Likelihood; Order Statistic; Transmuted Family.