文章基本信息

标题：The Weibull-G Family of Probability Distributions
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作者：Marcelo Bourguignon ; Rodrigo B. Silva ; Gauss M. Cordeiro 等
期刊名称：Journal of Data Science
印刷版ISSN：1680-743X
电子版ISSN：1683-8602
出版年度：2014
卷号：12
期号：1
页码：53-68
出版社：Tingmao Publish Company
摘要：The Weibull distribution is the most important distribution forproblems in reliability. We study some mathematical properties of the newwider Weibull-G family of distributions. Some special models in the newfamily are discussed. The properties derived hold to any distribution in thisfamily. We obtain general explicit expressions for the quantile function, or-dinary and incomplete moments, generating function and order statistics.We discuss the estimation of the model parameters by maximum likelihoodand illustrate the potentiality of the extended family with two applicationsto real data.
关键词：Generalized distribution; lifetime; maximum likelihood estima-;tion; order statistic; Weibull distribution.