Interval shrinkage estimation of two-parameter exponential distribution with random censored data
The use of the two-parameter exponential distribution model in fitting survival and reliability analysis data in the presence of censored random data has recently attracted the attention of a large number of authors. Considering the importance of the model, its parameter estimation is discussed usin...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2025-01-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_4428_c2729d46e5814953234d7a3007299fe7.pdf |
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| author | Ali Soori Parviz Nasiri Mehdi Jabbari Nooghabi Farshin Hormozinejad Mohammadreza Ghalani |
| author_facet | Ali Soori Parviz Nasiri Mehdi Jabbari Nooghabi Farshin Hormozinejad Mohammadreza Ghalani |
| author_sort | Ali Soori |
| collection | DOAJ |
| description | The use of the two-parameter exponential distribution model in fitting survival and reliability analysis data in the presence of censored random data has recently attracted the attention of a large number of authors. Considering the importance of the model, its parameter estimation is discussed using the method of moment, maximum likelihood and shrinkage estimation. To present the interval shrinkage estimator, it is first proved that the moment estimators are asymptotically unbiased and the interval shrinkage estimator performs better compared to other estimators. Finally, using two real data sets and statistical criteria, the goodness of fit of the model is compared with censored random data based on parameter estimation methods. |
| format | Article |
| id | doaj-art-7006ef211caa4ae4adac1da664c8d332 |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-7006ef211caa4ae4adac1da664c8d3322025-01-04T19:30:18ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052025-01-0114112113610.22103/jmmr.2024.22595.15434428Interval shrinkage estimation of two-parameter exponential distribution with random censored dataAli Soori0Parviz Nasiri1Mehdi Jabbari Nooghabi2Farshin Hormozinejad3Mohammadreza Ghalani4Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.Department of Statistics, Payam Noor University, 4697-19395, Tehran, IranDepartment of Statistics, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.The use of the two-parameter exponential distribution model in fitting survival and reliability analysis data in the presence of censored random data has recently attracted the attention of a large number of authors. Considering the importance of the model, its parameter estimation is discussed using the method of moment, maximum likelihood and shrinkage estimation. To present the interval shrinkage estimator, it is first proved that the moment estimators are asymptotically unbiased and the interval shrinkage estimator performs better compared to other estimators. Finally, using two real data sets and statistical criteria, the goodness of fit of the model is compared with censored random data based on parameter estimation methods.https://jmmrc.uk.ac.ir/article_4428_c2729d46e5814953234d7a3007299fe7.pdftwo-parameter exponential distributionrandom censoringinterval shrinkage estimationgoodness of fitmean squared error |
| spellingShingle | Ali Soori Parviz Nasiri Mehdi Jabbari Nooghabi Farshin Hormozinejad Mohammadreza Ghalani Interval shrinkage estimation of two-parameter exponential distribution with random censored data Journal of Mahani Mathematical Research two-parameter exponential distribution random censoring interval shrinkage estimation goodness of fit mean squared error |
| title | Interval shrinkage estimation of two-parameter exponential distribution with random censored data |
| title_full | Interval shrinkage estimation of two-parameter exponential distribution with random censored data |
| title_fullStr | Interval shrinkage estimation of two-parameter exponential distribution with random censored data |
| title_full_unstemmed | Interval shrinkage estimation of two-parameter exponential distribution with random censored data |
| title_short | Interval shrinkage estimation of two-parameter exponential distribution with random censored data |
| title_sort | interval shrinkage estimation of two parameter exponential distribution with random censored data |
| topic | two-parameter exponential distribution random censoring interval shrinkage estimation goodness of fit mean squared error |
| url | https://jmmrc.uk.ac.ir/article_4428_c2729d46e5814953234d7a3007299fe7.pdf |
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