{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T04:49:13Z","timestamp":1769834953874,"version":"3.49.0"},"reference-count":16,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2021,6,8]],"date-time":"2021-06-08T00:00:00Z","timestamp":1623110400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004663","name":"Ministry of Science and Technology, Taiwan","doi-asserted-by":"publisher","award":["MOST109-2118-M-032 -001 -MY2"],"award-info":[{"award-number":["MOST109-2118-M-032 -001 -MY2"]}],"id":[{"id":"10.13039\/501100004663","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>We present the likelihood inferences on the lifetime performance index CL to evaluate the performance of lifetimes of products following the skewed Exponentiated Frech\u2019et distribution in many manufacturing industries. This research is related to the topic of skewed Probability Distributions and Applications across Disciplines. Exponentiated Frech\u2019et distribution is a generalization of some lifetime distributions. The maximum likelihood estimator for CL for lifetimes with exponentiated Frech\u2019et distribution is derived to develop a computational testing procedure so that experimenters can implement it to test whether the lifetime performance reached the pre-assigned level of significance with a given lower specification limit under progressive type I interval censoring. At the end, two examples are provided to demonstrate the implementation on the algorithm for our proposed computational testing procedure.<\/jats:p>","DOI":"10.3390\/sym13061032","type":"journal-article","created":{"date-parts":[[2021,6,8]],"date-time":"2021-06-08T21:16:58Z","timestamp":1623187018000},"page":"1032","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["The Evaluation on the Process Capability Index CL for Exponentiated Frech\u2019et Lifetime Product under Progressive Type I Interval Censoring"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0611-6701","authenticated-orcid":false,"given":"Shu-Fei","family":"Wu","sequence":"first","affiliation":[{"name":"Department of Statistics, Tamkang University, Tamsui, Taipei 251301, Taiwan"}]},{"given":"Wei-Tsung","family":"Chang","sequence":"additional","affiliation":[{"name":"Department of Computer Science, University of Taipei, Taipei 100234, Taiwan"}]}],"member":"1968","published-online":{"date-parts":[[2021,6,8]]},"reference":[{"key":"ref_1","unstructured":"Montalvo, C., Peck, D., and Rietveld, E. 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