The Evaluation on the Process Capability Index <i>C<sub>L</sub></i> for Exponentiated Frech’et Lifetime Product under Progressive Type I Interval Censoring
We present the likelihood inferences on the lifetime performance index <i>C<sub>L</sub></i> to evaluate the performance of lifetimes of products following the skewed Exponentiated Frech’et distribution in many manufacturing industries. This research is related to the topic of...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/6/1032 |
| _version_ | 1797530876287909888 |
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| author | Shu-Fei Wu Wei-Tsung Chang |
| author_facet | Shu-Fei Wu Wei-Tsung Chang |
| author_sort | Shu-Fei Wu |
| collection | DOAJ |
| description | We present the likelihood inferences on the lifetime performance index <i>C<sub>L</sub></i> to evaluate the performance of lifetimes of products following the skewed Exponentiated Frech’et distribution in many manufacturing industries. This research is related to the topic of skewed Probability Distributions and Applications across Disciplines. Exponentiated Frech’et distribution is a generalization of some lifetime distributions. The maximum likelihood estimator for <i>C<sub>L</sub></i> for lifetimes with exponentiated Frech’et 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. |
| first_indexed | 2024-03-10T10:36:13Z |
| format | Article |
| id | doaj.art-856a361fcb1649ba88e7f0c8bed28b07 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T10:36:13Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-856a361fcb1649ba88e7f0c8bed28b072023-11-21T23:17:35ZengMDPI AGSymmetry2073-89942021-06-01136103210.3390/sym13061032The Evaluation on the Process Capability Index <i>C<sub>L</sub></i> for Exponentiated Frech’et Lifetime Product under Progressive Type I Interval CensoringShu-Fei Wu0Wei-Tsung Chang1Department of Statistics, Tamkang University, Tamsui, Taipei 251301, TaiwanDepartment of Computer Science, University of Taipei, Taipei 100234, TaiwanWe present the likelihood inferences on the lifetime performance index <i>C<sub>L</sub></i> to evaluate the performance of lifetimes of products following the skewed Exponentiated Frech’et distribution in many manufacturing industries. This research is related to the topic of skewed Probability Distributions and Applications across Disciplines. Exponentiated Frech’et distribution is a generalization of some lifetime distributions. The maximum likelihood estimator for <i>C<sub>L</sub></i> for lifetimes with exponentiated Frech’et 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.https://www.mdpi.com/2073-8994/13/6/1032progressive type I interval censoringlifetime performance indexexponentiated Frech’et distributionmaximum likelihood estimatorhypothesis testing procedure |
| spellingShingle | Shu-Fei Wu Wei-Tsung Chang The Evaluation on the Process Capability Index <i>C<sub>L</sub></i> for Exponentiated Frech’et Lifetime Product under Progressive Type I Interval Censoring Symmetry progressive type I interval censoring lifetime performance index exponentiated Frech’et distribution maximum likelihood estimator hypothesis testing procedure |
| title | The Evaluation on the Process Capability Index <i>C<sub>L</sub></i> for Exponentiated Frech’et Lifetime Product under Progressive Type I Interval Censoring |
| title_full | The Evaluation on the Process Capability Index <i>C<sub>L</sub></i> for Exponentiated Frech’et Lifetime Product under Progressive Type I Interval Censoring |
| title_fullStr | The Evaluation on the Process Capability Index <i>C<sub>L</sub></i> for Exponentiated Frech’et Lifetime Product under Progressive Type I Interval Censoring |
| title_full_unstemmed | The Evaluation on the Process Capability Index <i>C<sub>L</sub></i> for Exponentiated Frech’et Lifetime Product under Progressive Type I Interval Censoring |
| title_short | The Evaluation on the Process Capability Index <i>C<sub>L</sub></i> for Exponentiated Frech’et Lifetime Product under Progressive Type I Interval Censoring |
| title_sort | evaluation on the process capability index i c sub l sub i for exponentiated frech et lifetime product under progressive type i interval censoring |
| topic | progressive type I interval censoring lifetime performance index exponentiated Frech’et distribution maximum likelihood estimator hypothesis testing procedure |
| url | https://www.mdpi.com/2073-8994/13/6/1032 |
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