A likelihood control chart for monitoring bivariate lifetime processes
In this survey, two new control charts CCLR and CCALR for bivariate exponential variables by dependence structure based on Farlie-Gumbel-Morgenstern copula model are introduced. Simulation study is done to make a comparison between two proposed control charts in terms of average run length (ARL). Re...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2022-05-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3258_fe933c9ef9644a64ad2f3758c63f1361.pdf |
| _version_ | 1797799230981537792 |
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| author | Zainab Abbasi Ganji Bahram Sadeghpour Gildeh |
| author_facet | Zainab Abbasi Ganji Bahram Sadeghpour Gildeh |
| author_sort | Zainab Abbasi Ganji |
| collection | DOAJ |
| description | In this survey, two new control charts CCLR and CCALR for bivariate exponential variables by dependence structure based on Farlie-Gumbel-Morgenstern copula model are introduced. Simulation study is done to make a comparison between two proposed control charts in terms of average run length (ARL). Results show that the CCALR performs better than CCLR. Anumerical example is provided to fortify the theoretical findings. |
| first_indexed | 2024-03-13T04:16:52Z |
| format | Article |
| id | doaj.art-a10baebf6adf4b798e97f3965ac0a1f0 |
| institution | Directory Open Access Journal |
| issn | 2251-7952 2645-4505 |
| language | English |
| last_indexed | 2024-03-13T04:16:52Z |
| publishDate | 2022-05-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj.art-a10baebf6adf4b798e97f3965ac0a1f02023-06-21T03:18:20ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052022-05-011129711810.22103/jmmrc.2022.19093.12093258A likelihood control chart for monitoring bivariate lifetime processesZainab Abbasi Ganji0Bahram Sadeghpour Gildeh1Khorasan Razavi Agricultural and Natural research and Education center, Mashhad, IranDepartment of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranIn this survey, two new control charts CCLR and CCALR for bivariate exponential variables by dependence structure based on Farlie-Gumbel-Morgenstern copula model are introduced. Simulation study is done to make a comparison between two proposed control charts in terms of average run length (ARL). Results show that the CCALR performs better than CCLR. Anumerical example is provided to fortify the theoretical findings.https://jmmrc.uk.ac.ir/article_3258_fe933c9ef9644a64ad2f3758c63f1361.pdfcontrol chartbivariate exponential distributionfarlie-gumbel-morgenstern copulalikelihood ratio testaverage run length |
| spellingShingle | Zainab Abbasi Ganji Bahram Sadeghpour Gildeh A likelihood control chart for monitoring bivariate lifetime processes Journal of Mahani Mathematical Research control chart bivariate exponential distribution farlie-gumbel-morgenstern copula likelihood ratio test average run length |
| title | A likelihood control chart for monitoring bivariate lifetime processes |
| title_full | A likelihood control chart for monitoring bivariate lifetime processes |
| title_fullStr | A likelihood control chart for monitoring bivariate lifetime processes |
| title_full_unstemmed | A likelihood control chart for monitoring bivariate lifetime processes |
| title_short | A likelihood control chart for monitoring bivariate lifetime processes |
| title_sort | likelihood control chart for monitoring bivariate lifetime processes |
| topic | control chart bivariate exponential distribution farlie-gumbel-morgenstern copula likelihood ratio test average run length |
| url | https://jmmrc.uk.ac.ir/article_3258_fe933c9ef9644a64ad2f3758c63f1361.pdf |
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