IMPLEMENTING LIFETIME PERFORMANCE INDEX OF BURR XII PRODUCTS WITH PROGRESSIVELY TYPE II RIGHT CENSORED SAMPLE

摘要

In this paper, we will construct the maximum likelihood estimator (MLE) of larger-the-better type process capability index (or lifetime performance index) C_L for the two-parameter Burr (ⅩⅡ) distribution with progressively type Ⅱ right censored sample on the condition of known L. Furthermore, we propose the asymptotic normal distribution of the MLE for C_L in order to develop the hypothesis testing procedure for assessing the lifetime performance of products. Moreover, the hypothesis testing procedure not only can effectively evaluate the lifetime performance of products but also is the supplier selection criteria of the customers. Finally, two examples and Monte Carlo simulation are given to illustrate the application of the results.