文章基本信息

标题：The Extended Exponential Distribution and Its Applications
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作者：Ahmed Z. Afify ; Mohamed Zayed ; Mohammad Ahsanullah 等
期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2018
卷号：17
期号：2
页码：213-229
DOI：10.2991/jsta.2018.17.2.3
语种：English
出版社：Atlantis Press
摘要：We introduce a new three-parameter extension of the exponential distribution called the odd exponentiated half-logistic exponential distribution. Various of its properties including quantile and generating functions, ordinary and incomplete moments, mean residual life, mean inactivity time and some characterizations are investigated. The new density function can be expressed as a linear mixture of exponential densities. The hazard rate function of the new model can be decreasing, increasing or bathtub shaped. The maximum likelihood is used for estimating the model parameters. We prove empirically the flexibility of the new distribution using two real data sets.
关键词：Exponential distribution;Characterization;Generating function;Maximum likelihood;Simulation