Optimal Step-Stress Test under Progressive Type I Censoring with Grouped Data
| Autor: | Ying-Po Lin, 林英博 |
|---|---|
| Rok vydání: | 2003 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 91 In the study of product reliability, a life test usually has to be conducted. There are several types of life testing experiments. Type I and Type II censoring schemes have been studied rather extensively by lots of researchers in order to obtain the lifetimes of products. These two schemes do not allow for units to be removed from the test at points other than the final termination point. However, this allowance will be desirable for some experimenters. Therefore, a progressive censoring scheme is proposed to handle this problem. With today's high technology, many products are designed to work without failure for years. Thus, some life tests result in few or no failures in a short life testing time. One approach to solve this problem is to accelerate the life of products by increasing the levels of stress in order to obtain failures quickly. Moreover, in practice, it is often impossible continuously to observe or inspect the testing process, even with censoring. We might only be able to inspect the test units intermittently. Hence, we observe only the number of failures within the time period, but not the ssociated failure times. Data of this type are called grouped data. In this thesis, we are going to combine progressive censoring, accelerated life test and grouped data to develop a step-stress accelerated life-testing scheme with type I progressive group-censoring. We will obtain the estimators of the parameter in the proposed model when the failure time distribution is exponential. The problem of choosing the optimal length of the inspection interval will also be addressed using the variance and the D-optimality criteria. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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