期刊論文
學年 | 105 |
---|---|
學期 | 2 |
出版(發表)日期 | 2017-06-14 |
作品名稱 | Inference of δ = P(X < Y) for Burr XII distributions with record samples |
作品名稱(其他語言) | |
著者 | Jyun-You Chiang; Nan Jiang; Tzong-Ru Tsai; Y. L. Lio |
單位 | |
出版者 | |
著錄名稱、卷期、頁數 | Communications in Statistics - Simulation and Computation 47(3), p.822-838 |
摘要 | Let X and Y follow independent Burr type XII distributions, which share a common inner shape parameter. The maximum likelihood estimator of the parameter δ = P(X < Y) is studied based on record samples. The existence and uniqueness of the maximum likelihood estimator of δ based on record samples are established. When the inner shape parameter is known, an exact confidence interval of δ is derived; otherwise, the Fisher information matrix and two bootstrap methods are used to obtain three approximate confidence intervals of δ. The performances of the proposed methods are evaluated via Monte Carlo simulation. Two examples are provided for illustration. |
關鍵字 | Bootstrap-t method;Fisher information;Log-logistic distribution;Maximum likelihood estimation;Percentile bootstrap method |
語言 | en |
ISSN | |
期刊性質 | 國外 |
收錄於 | SCI |
產學合作 | |
通訊作者 | YL Lio |
審稿制度 | 是 |
國別 | USA |
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/987654321/113686 ) |