文章基本信息

标题：A New Generalized Family of Distributions from Bounded Support
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作者：M.H.Tahir ; Gauss M Cordeiro ; M.Mansoor 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：2018
卷号：16
期号：2
页码：251-276
出版社：Tingmao Publish Company
摘要：In this paper, we introduce a new generalized family of distri- butions from bounded support (0,1), namely, the Topp-Leone-G family.Some of mathematical properties of the proposed family have been studied. The new density function can be symmetrical, left-skewed, right-skewed or reverse-J shaped. Furthermore, the hazard rate function can be constant, in- creasing, decreasing, J or bathtub hazard rate shapes. Three special models are discussed. We obtain simple expressions for the ordinary and incomplete moments, quantile and generating functions, mean deviations and entropies. The method of maximum likelihood is used to estimate the model parame- ters. The flexibility of the new family is illustrated by means of three real data sets.
关键词：G-class; J-shaped distribution; moments; reliability function;T-X family; Topp-Leone distribution.