Abstract
ABSTRACT In the service (or manufacturing) industries, process capability indices (PCIs) are utilized to assess whether product quality meets the required level. And the lifetime performance index (or larger-the-better process capability index) CL is frequently used as a means of measuring product performance, where L is the lower specification limit. Hence, this study constructs an uniformly minimum variance unbiased estimator (UMVUE) of CL based on the type II multiply censored sample from the Rayleigh distribution. The UMVUE of CL is then utilized to develop a novel hypothesis testing procedure in the condition of known L. Finally, we give an example regarding the ball bearing in endurance test to illustrate the use of the testing procedure under given significance level. Moreover, the purchasers can then employ the testing procedure to determine whether the product performance adheres to the required level. Manufacturers can also utilize this testing procedure to improve the process capability.
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