Two characteristic properties of the exponential distribution based on order statistics
學年 86
學期 2
出版（發表）日期 1998-02-01
作品名稱 Two characteristic properties of the exponential distribution based on order statistics
作品名稱（其他語言）
著者 Wu, Jong-wuu; Ouyang, L. Y.
單位 淡江大學統計學系
出版者 New Delhi: TARU Publications
著錄名稱、卷期、頁數 Journal of Interdisciplinary Mathematics 1(1), pp.93-100
摘要 Let X be a random variable with continuous distribution nmction F(x) on the interval [0,∞), and let X 1:n  ≤  X 2:n  ≤  ... ≤  X n:n be the order statistics of a random sample of size n (≥ 2) from F(x). If F(x) is continuous and strictly increasing for all x > 0, then for any i and j, 1 ≤ i < j ≤ n, X j:n  – X j-i:n-i have identical distribution characterize the exponential distribution. This characteristic property improve the result of Ahsanullah [2]. In addition, the characterization is preserved if F(x) is absolutely continuous and “have identical distribution” is weakened to “have identical fmite expectation”.
關鍵字
語言 en
ISSN 0972-0502 2169-012X
期刊性質 國外
收錄於
產學合作
通訊作者
審稿制度
國別 IND
公開徵稿
出版型式 紙本
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