Characterization of the Mixtures of Gompertz Distributions by Conditional Expectation of Order Statistics
學年 87
學期 2
出版(發表)日期 1999-06-01
作品名稱 Characterization of the Mixtures of Gompertz Distributions by Conditional Expectation of Order Statistics
作品名稱(其他語言)
著者 吳忠武; Wu, Jong-wuu; Lee, Wen-chuan
單位 淡江大學統計學系
出版者 Wiley-Blackwell
著錄名稱、卷期、頁數 Biometrical Journal 41(3), pp.371-381
摘要 The mixtures of Gompertz random variables (Gompertz, 1825) X1 and X2 are identified in terms of relations between the conditional expectation of [exp (αX2:2) — exp (αX1:2)]k given X1:2 and the hazard rate function of the distribution, k is a positive integer and α < 0. Here X1:2 and X2:2 denote the corresponding order statistics. In addition, we also mention some related theorems to characterize the mixtures of Gompertz distributions. Finally, when the sample size is n, the above results are also valid and we also give an application to Multi-Hit models of carcinogenesis (Parallel Systems).
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語言 en
ISSN 0323-3847
期刊性質 國內
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國別 TWN
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