OPTIMAL STEP-STRESS ACCELERATED LIFE TESTPLANS WITH PROGRESSIVE CENSORING
| Autor: | Kuan-Fu Shen, 沈冠甫 |
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| Rok vydání: | 2007 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 95 First, this paper presents optimum plans for step-stress tests from a Bayes viewpoint. We obtain the optimum test plans to minimize the asymptotic variance of the maximum likelihood estimator of the mean life at a design (use) stress. The emphasis of this paper is to establishment of new areas of application to step-stress accelerated life testing (ALT) and an improvement of existing procedures and theories. Examples for Type I and Type II censored cases are illustrated. Second, this paper considers the analysis of exponentially distributed lifetime data observed under -stage step-stress accelerated life test with progressive type-I and type-II censoring. Furthermore, the random removal is also discussed and we suppose the number of units removed at each stress follows a binomial distribution. We compute the expected Fisher information matrix of the maximum likelihood estimator of the log mean life at design (use) stress. The problem of choosing the optimal time and proportion under k-stage step-stress is addressed using variance (V)-optimality as well as determinant (D)-optimality criteria. An illustrative example is provided with discussion. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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