{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,14]],"date-time":"2026-01-14T00:44:35Z","timestamp":1768351475464,"version":"3.49.0"},"reference-count":18,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,7,8]],"date-time":"2012-07-08T00:00:00Z","timestamp":1341705600000},"content-version":"vor","delay-in-days":189,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001868","name":"National Science Council","doi-asserted-by":"publisher","award":["NSC 100-2221-E-158-004"],"award-info":[{"award-number":["NSC 100-2221-E-158-004"]}],"id":[{"id":"10.13039\/501100001868","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>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 <jats:italic>C<\/jats:italic><jats:sub><jats:italic>L<\/jats:italic><\/jats:sub> is a popular means to assess the performance and potential of their processes, where <jats:italic>L<\/jats:italic> is the lower specification limit. This study will apply the large\u2010sample theory to construct a maximum likelihood estimator (MLE) of <jats:italic>C<\/jats:italic><jats:sub><jats:italic>L<\/jats:italic><\/jats:sub> with the progressive first\u2010failure\u2010censored sampling plan under the Weibull distribution. The MLE of <jats:italic>C<\/jats:italic><jats:sub><jats:italic>L<\/jats:italic><\/jats:sub> is then utilized to develop a new hypothesis testing procedure in the condition of known <jats:italic>L<\/jats:italic>.<\/jats:p>","DOI":"10.1155\/2012\/717184","type":"journal-article","created":{"date-parts":[[2012,7,8]],"date-time":"2012-07-08T21:00:42Z","timestamp":1341781242000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First\u2010Failure\u2010Censored Sampling Plan"],"prefix":"10.1155","volume":"2012","author":[{"given":"Ching-Wen","family":"Hong","sequence":"first","affiliation":[]},{"given":"Wen-Chuan","family":"Lee","sequence":"additional","affiliation":[]},{"given":"Jong-Wuu","family":"Wu","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,7,8]]},"reference":[{"key":"e_1_2_9_1_2","volume-title":"Introduction to Statistical Quality Control","author":"Montgomery D. 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