Abstract:

The traditional statistical process control theory is to assume that the characteristic value of quality of the process is normal distribution. However, in the practical process this hypothesis is untenable. The quality characteristic of the products is assumed to obey exponential distribution, and the process capability index is used to evaluate the lifetime performance of products based on the type II rightcensored sample. This study constructs a uniformly minimum variance unbiased estimator(UMVUE), and the confidence interval of the lifetime performance index is also given. Then the UMVUE of the lifetime performance index is utilized to develop a new hypothesis testing. Finally, a practical example is illustrated that the test method is simple and easy to operate. Moreover, this method can be employed to determine whether the products achieve the required level.