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    題名: On characterizations of generalized mixtures of geometric and exponential distributions by conditional expectation of record values
    作者: 吳忠武;Wu, Jong-wuu;Lee, Wen-chuan
    貢獻者: 淡江大學統計學系
    關鍵詞: characterization;record values;conditional expectation;failure rate;generalized mixtures of geometric distribution;generalized mixtures of exponential distribution
    日期: 1999-01-01
    上傳時間: 2009-11-30 12:58:04 (UTC+8)
    出版者: Japan Statistical Society
    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(1), pp.99-104
    DOI: 10.14490/jjss1995.29.99
    顯示於類別:[統計學系暨研究所] 期刊論文

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