文章基本信息

标题：The Exponentiated Half-Logistic Family of Distributions: Properties and Applications
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作者：Gauss M. Cordeiro ; Morad Alizadeh ; Edwin M. M. Ortega 等
期刊名称：Journal of Probability and Statistics
印刷版ISSN：1687-952X
电子版ISSN：1687-9538
出版年度：2014
卷号：2014
DOI：10.1155/2014/864396
出版社：Hindawi Publishing Corporation
摘要：We study some mathematical properties of a new generator of continuous distributions with two extra parameters called the exponentiated half-logistic family. We present some special models. We investigate the shapes of the density and hazard rate function. We derive explicit expressions for the ordinary and incomplete moments, quantile and generating functions, probability weighted moments, Bonferroni and Lorenz curves, Shannon and Rényi entropies, and order statistics, which hold for any baseline model. We introduce two bivariate extensions of this family. We discuss the estimation of the model parameters by maximum likelihood and demonstrate the potentiality of the new family by means of two real data sets.