期刊論文

學年 89
學期 1
出版(發表)日期 2001-01-01
作品名稱 Characterizations of generalized mixtures of geometric and exponential distributions based on upper record values
作品名稱(其他語言)
著者 吳忠武; Wu, Jong-wuu
單位 淡江大學統計學系
出版者 Springer
著錄名稱、卷期、頁數 Statistical Papers 42(1), pp.123-133
摘要 Let 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)2¦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 Balakrishnan and Balasubramanian (1995).
關鍵字 Characterization;Record values;Conditional expectation;Failure rate;Difference equations;Differential equations;Generalized mixtures of geometric;distribution;Generalized mixtures of exponential distribution
語言 en
ISSN 0932-5026
期刊性質 國內
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國別 TWN
公開徵稿
出版型式 ,電子版
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