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    题名: On characterizations of generalized mixtures of geometric and expenential distributions by conditional expectation of record values
    作者: 吳忠武;Wu, Jong-wuu;Lee, W.C.
    贡献者: 淡江大學統計學系
    日期: 1999-01-01
    上传时间: 2011-10-23 16:36:57 (UTC+8)
    摘要: Lex XU(1)<XU(2)<…<XU(n)<…be the sequence of the upper record values from a population with common distribution function F. In this paper, we first give a theorem to characterize the generalized mixtures of geometric distribution by the relation between E[XU(n+1)|Xu(n)=x]and the function of the failure rate of the distribution, for any positive integer n. Secondly, we also use the same relation to characterize the generalized mixtures of exponential distribution. The characterizing relations were motivated by the work of Srivastava(1979), Ahsanullah and Holland(1984)and Nagaraja(1977).
    關聯: Journal of the Japan statistical society 29, pp.99-104
    DOI: 10.14490/jjss1995.29.99
    显示于类别:[統計學系暨研究所] 期刊論文

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