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Student Number 952205005 Author Bing-Yi Wu(吳秉懌) Author's Email Address No Public. Statistics This thesis had been viewed 1397 times. Download 688 times. Department Graduate Institute of Statistics Year 2007 Semester 2 Degree Master Type of Document Master's Thesis Language zh-TW.Big5 Chinese Title 群組資料指數分配加速壽命試驗之貝氏可靠度分析與最佳化設計 Date of Defense 2008-06-17 Page Count 50 Keyword accelarated life test Bayesian analysis grouped data optimal test Type-I progressive censoring Abstract Accelarated life test (ALT) is a widely used technique to reduce the experiment time. Experimenters abridge the time by placing the items at the more severe stress levels than at nomal-use contidion. Besides, in the step-stress ALT, the stress levels are gradually increasing. Also, censoring scheme is often applied when the life test is to be executed. Complete data, which record all failure times and grouped data, which only include the numbers of failure items are two types of data in life test. In this thesis, assume that the lifetime of each item follows an exponential

distribution under the single stress progressive Type-I censoring ALT with grouped data. Maximum likelihood as well as Bayesian inferences on the related parameters are developed. The traditional MLE according as the large sample properties is not precise enough since there is no large sample in reliability test. However Bayesian method would offer stable estimation when the sample size is not large. Futhermore, the search for optimal experiment time and optimal stress increment is derived, which is based on V-optimality, D-optiamlity and A-optimality.Table of Content 中文摘要i

英文摘要ii

致謝辭iii

1 緒論1

1.1 研究動機

1.2 文獻回顧

1.3 研究方法

2 型I 逐步設限階段應力加速壽命試驗推論與最佳設計7

2.1 模型介紹與統計推論

2.1.1 最大概似估計

2.1.2 貝氏推論

2.2 最佳化準則

2.2.1 V-最佳化準則

2.2.2 D-最佳化準則

2.2.3 A-最佳化準則

3 數值分析與模擬研究

3.1 最佳化試驗時間

3.2 最佳化應力增量

3.3 模擬資料研究

4 結論與展望

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Computation and Simulation 57-71.Advisor Tsai-Hung Fan(樊采虹)

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952205005.pdf Date of Submission 2008-07-06

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