STATISTICAL TESTING FOR ASSESSING LIFETIME PERFORMANCE INDEX OF THE RAYLEIGH LIFETIME PRODUCTS

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) C_L 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 C_L based on the type II multiply censored sample from the Rayleigh distribution. The UMVUE of C_L 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.

Keywords:

• Product performance
• type II multiply censored sample
• Rayleigh distribution
• uniformly minimum variance unbiased estimator
• testing procedure