文章基本信息

标题：Characterizing Distributions by Linearity of Regression of Generalized Order Statistics
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作者：Abbas Rasouli ; S. Samadi ; Mohammad Ahsanullah 等
期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2016
卷号：15
期号：2
页码：110-116
DOI：10.2991/jsta.2016.15.2.1
语种：English
出版社：Atlantis Press
摘要：Let X1,..., Xn be a random sample from an absolutely continuous (with respect to Lebesgue measure) distribution with the corresponding generalized order statistics X(1, n, m~, k),..., X(n, n, m~, k). In this paper, we present some characterization of distributions when linearity of regression E[X(s, n, m~, k)|X(r, n, m~, k)=x]=ax+b is identified.
关键词：Conditional expectation; generalized order statistics; Linearity of regression.