@article {IOPORT.06106295, author = {Hong, Ching-Wen and Lee, Wen-Chuan and Wu, Jong-Wuu}, title = {Computational procedure of performance assessment of lifetime index of products for the Weibull distribution with the progressive first-failure-censored sampling plan.}, year = {2012}, journal = {Journal of Applied Mathematics}, volume = {2012}, issn = {1110-757X}, pages = {Article ID 717184, 13 p.}, publisher = {Hindawi Publishing Corporation, New York, NY}, doi = {10.1155/2012/717184}, abstract = {Summary: Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance index $C_L$ is a popular means to assess the performance and potential of their processes, where $L$ is the lower specification limit. This study will apply the large-sample theory to construct a maximum likelihood estimator (MLE) of $C_L$ with the progressive first-failure-censored sampling plan under the Weibull distribution. The MLE of $C_L$ is then utilized to develop a new hypothesis testing procedure in the condition of known $L$.}, identifier = {06106295}, }