Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data
This paper introduces a new lifetime distribution by mixing the first two lower record values and various distributional properties are examined. Statistical inference on distribution parameters are discussed with five estimators. A Monte Carlo simulation study is carried out to evaluate the risk be...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2021-01-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/125951774/view |
| _version_ | 1817987620052926464 |
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| author | Caner Tanış Buğra Saraçoğlu Coşkun Kuş Ahmet Pekgör Kadir Karakaya |
| author_facet | Caner Tanış Buğra Saraçoğlu Coşkun Kuş Ahmet Pekgör Kadir Karakaya |
| author_sort | Caner Tanış |
| collection | DOAJ |
| description | This paper introduces a new lifetime distribution by mixing the first two lower record values and various distributional properties are examined. Statistical inference on distribution parameters are discussed with five estimators. A Monte Carlo simulation study is carried out to evaluate the risk behavior of these estimators for different sample of sizes. The distribution modeling analysis is provided based on real data to demonstrate the fitting ability of the proposed model. In addition, a lifetime regression model is described by re-parameterization on the log lifetimes. The superiority of proposed regression model is revealed in well-known models. |
| first_indexed | 2024-04-14T00:23:44Z |
| format | Article |
| id | doaj.art-6307015916e14b0e8c69fd437e4460e1 |
| institution | Directory Open Access Journal |
| issn | 2214-1766 |
| language | English |
| last_indexed | 2024-04-14T00:23:44Z |
| publishDate | 2021-01-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-6307015916e14b0e8c69fd437e4460e12022-12-22T02:22:50ZengSpringerJournal of Statistical Theory and Applications (JSTA)2214-17662021-01-0120110.2991/jsta.d.210115.001Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored DataCaner TanışBuğra SaraçoğluCoşkun KuşAhmet PekgörKadir KarakayaThis paper introduces a new lifetime distribution by mixing the first two lower record values and various distributional properties are examined. Statistical inference on distribution parameters are discussed with five estimators. A Monte Carlo simulation study is carried out to evaluate the risk behavior of these estimators for different sample of sizes. The distribution modeling analysis is provided based on real data to demonstrate the fitting ability of the proposed model. In addition, a lifetime regression model is described by re-parameterization on the log lifetimes. The superiority of proposed regression model is revealed in well-known models.https://www.atlantis-press.com/article/125951774/viewFréchet distributionLower recordsPoint estimatesLifetime regression |
| spellingShingle | Caner Tanış Buğra Saraçoğlu Coşkun Kuş Ahmet Pekgör Kadir Karakaya Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data Journal of Statistical Theory and Applications (JSTA) Fréchet distribution Lower records Point estimates Lifetime regression |
| title | Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data |
| title_full | Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data |
| title_fullStr | Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data |
| title_full_unstemmed | Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data |
| title_short | Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data |
| title_sort | transmuted lower record type frechet distribution with lifetime regression analysis based on type i censored data |
| topic | Fréchet distribution Lower records Point estimates Lifetime regression |
| url | https://www.atlantis-press.com/article/125951774/view |
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