期刊論文
| 學年 | 96 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2008-04-01 |
| 作品名稱 | Optimal step-stress test under type I progressive group-censoring with random removals |
| 作品名稱（其他語言） | |
| 著者 | Wu, Shuo-jye; Lin, Ying-po; Chen, Shyi-tien |
| 單位 | 淡江大學統計學系 |
| 出版者 | Elsevier |
| 著錄名稱、卷期、頁數 | Journal of Statistical Planning and Inference 138(4), pp.817-826 |
| 摘要 | Some traditional life tests result in no or very few failures by the end of test. In such cases, one approach is to do life testing at higher-than-usual stress conditions in order to obtain failures quickly. This paper discusses a k-level step-stress accelerated life test under type I progressive group-censoring with random removals. An exponential failure time distribution with mean life that is a log-linear function of stress and a cumulative exposure model are considered. We derive the maximum likelihood estimators of the model parameters and establish the asymptotic properties of the estimators. We investigate four selection criteria which enable us to obtain the optimum test plans. One is to minimize the asymptotic variance of the maximum likelihood estimator of the logarithm of the mean lifetime at use-condition, and the other three criteria are to maximize the determinant, trace and the smallest eigenvalue of Fisher's information matrix. Some numerical studies are discussed to illustrate the proposed criteria. |
| 關鍵字 | A-optimality; D-optimality; E-optimality; Grouped data; Maximum likelihood method; Progressive type I censoring; Variance-optimality |
| 語言 | en |
| ISSN | 0378-3758 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | Wu, Shuo-jye |
| 審稿制度 | |
| 國別 | NLD |
| 公開徵稿 | |
| 出版型式 | 紙本 電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/20724 ) |