A hypothesis testing procedure of assessment for the lifetime performance index under a general class of inverse exponentiated distributions with progressive type I interval censoring

One of the main objective of manufacturing industries is to assess the capability performance of different processes. In this paper, we use the lifetime performance index CL as a criterion to measure larger-the-better type quality characteristic for evaluating the product performance. The lifetimes of products are assumed to follow a general class of inverted exponentiated distributions. We use maximum likelihood estimator to estimate the lifetime performance index under the assumption that data are progressive type I interval censored. We also obtain asymptotic distribution of this estimator. Based on this estimator, a new hypothesis testing procedure is developed with respect to a given lower specification limit. Finally, two numerical examples are discussed in support of the proposed testing procedure.補正完