Assessing the lifetime performance indices of products with the Burr XII and Extreme Value distributions based on doubly type II censored samples

• Main Authors: I-Jou Chang, 張逸柔
• Other Authors: Chin-Chuan Wu
• Format: Others
• Language: zh-TW
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/33518545117871472939

碩士 === 淡江大學 === 統計學系碩士班 === 100 === In recent years, many process capability indices (PCIs) have been widely used in qality monitoring by many manufacturing industries.In practice, the lifetime performance index CL is utilized to measure lifetime performance for products with some lifetime distributions, where L is the lower specification limit. In lifetime testing experiments, we may not be able to obtain a complete sample due to time limitation or other restrictions. Therefore, censored samples arise in practice. This research constructs an unbiased estimator of CL based on the doubly type II censored sample from Burr XII and Extreme value distribution,respectively.The unbiased estimator of CL is then utilized to develop a hypothesis testing procedure and the confidence interval in the condition of known L. 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.