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    Title: Two characteristic properties of the exponential distribution based on order statistics
    Authors: Wu, Jong-wuu;Ouyang, L. Y.
    Contributors: 淡江大學統計學系
    Date: 1998-02-01
    Issue Date: 2009-11-30 12:57:27 (UTC+8)
    Publisher: New Delhi: TARU Publications
    Abstract: 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”.
    Relation: Journal of Interdisciplinary Mathematics 1(1), pp.93-100
    DOI: 10.1080/09720502.1998.10700245
    Appears in Collections:[統計學系暨研究所] 期刊論文
    [管理科學學系暨研究所] 期刊論文

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