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 |
收錄於 | |
產學合作 | |
通訊作者 | |
審稿制度 | 否 |
國別 | TWN |
公開徵稿 | |
出版型式 | ,電子版 |
相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/20604 ) |