Assessing the lifetime performance indices of products with Burr XII and Gompertz distributions based on the upper record values
| Autor: | Pin-Yu Pan, 潘品豫 |
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| Rok vydání: | 2013 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 101 In recent years, many process capability indices (PCIs) have been widely used in quality monitoring by many manufacturing industries. The better process capability, the higher level of product quality it is, and the conforming rate. The literatures of quality performance mostly assumed the quality characteristics of product with the Normal distribution. In practice, the quality characteristics of product does not necessarily obey the Normal distribution. However, under certain situation, we are only interested in the next occurrence of the life of the product is higher than the previous record need to record. In order to make the process capability indices evaluate the product quality exactly. This research constructs an unbiased estimator of C_L based on the upper record value samples from Burr XII and Gompertz distribution. The unbiased estimation are then utilized to develop a hypothesis testing procedure and the confidence interval in the condition of known L, and using Monte Carlo simulation to compare the true value. The purchasers can then employ the new hypothesis and the confidence interval to determine whether the lifetime performance of products adhere to the required level. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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