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| 研究生： |
盧威利 Wei-li Lu |
|---|---|
| 論文名稱： |
韋伯分配下之部分加速測試用於多重設限資料 Partially acceleration tests for the Weibull distribution under multiply censored data |
| 指導教授： |
王福琨
Fu-Kwun Wang |
| 口試委員: |
郭伯勳
Po-Hsun Kuo 羅士哲 Shih-Che Lo |
| 學位類別： |
碩士 Master |
| 系所名稱： |
管理學院 - 工業管理系 Department of Industrial Management |
| 論文出版年： | 2009 |
| 畢業學年度： | 97 |
| 語文別： | 英文 |
| 論文頁數： | 23 |
| 中文關鍵詞： | 韋伯分配 、部份加速測試 、加速因子 、最大概似法 |
| 外文關鍵詞： | step-stress |
| 相關次數： | 點閱：235 下載：2 |
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在進行產品生命時間測時，在產品有很高的可靠度之情況下將需要很常的測試時間而使得試驗的進行相當困難。利用加速測試(ALT)可以縮短測試所進行的時間，但加速測試必須在加速因子已知的情況下才可以使用，在加速因子未知且沒有類似已知產品的加速因子可以套用的情況下並無法使用；而在此情況下，使用部分加速測試則可以在加速因子未知的情況之下進行試驗。
本研究將對於符合韋伯分配的部份加速測試在多重設限資料下，對其參數進行估計。部份加速測試第一階段產品將在正常狀況下進行試驗，當測試時間超過預設的時間之後，即改變測試環境進行第二階段的加速測試。而後使用最大概似估計法對於韋伯分配和加速因子的參數進行估計，並且求得參數的區間。最後在模擬測試之下，利用最大概似估計法求得各參數的誤差、均方根誤差、參數之上下界限以及涵蓋。
This paper aims to estimate the parameters of the Weibull distribution in step-stress partially accelerated life tests under multiply censored data. The step partially acceleration life test is that all test units are first run simultaneously under normal conditions for a pre-specified time, and the surviving units are then run under accelerated conditions until a predetermined censoring time. The maximum likelihood estimates are used to obtaining the parameters of the Weibull distribution and the acceleration factor under multiply censored data. Also, the confidence intervals for the estimators are obtained. Simulation results show that the maximum likelihood estimates perform well in most cases in terms of the mean bias, errors in the root mean square and the coverage rate.
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