A New Lifetime Model, Stochastic Orders and Kidney Infection Regression Model
We introduce a method to generate a new class of lifetime models based on the bounded distributions such that the defined models are exclusively a special case of the new class. A new subfamily, Generalized Alpha Power (GAP) is discussed and some stochastic orders in this subfamily are investigated...
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| Format: | Article |
| Language: | English |
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University of Tehran
2021-09-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
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| Online Access: | https://jsciences.ut.ac.ir/article_82253_b69149ad8a7699752453a32adbd9243d.pdf |
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| author | Araf Khanjari Idenak Mohammad Reza Zadkarami Seyed Mohammad Reza Alavi |
| author_facet | Araf Khanjari Idenak Mohammad Reza Zadkarami Seyed Mohammad Reza Alavi |
| author_sort | Araf Khanjari Idenak |
| collection | DOAJ |
| description | We introduce a method to generate a new class of lifetime models based on the bounded distributions such that the defined models are exclusively a special case of the new class. A new subfamily, Generalized Alpha Power (GAP) is discussed and some stochastic orders in this subfamily are investigated to identify the proposed method effect. The performance of the maximum likelihood estimators based on the simulation is studied and in the end, the importance and flexibility of the new family for the models are illustrated by a real data set. Our results indicate that using the proposed method substantially improves the fitness of any G-family model and can be extended to any real data set. Finally, the GAPTW regression model is applied to the kidney infection data. |
| format | Article |
| id | doaj-art-240606eb3dc446bd99bd9df85f2ee222 |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2021-09-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-240606eb3dc446bd99bd9df85f2ee2222025-08-20T02:25:54ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142021-09-0132324525810.22059/jsciences.2021.321231.100763982253A New Lifetime Model, Stochastic Orders and Kidney Infection Regression ModelAraf Khanjari Idenak0Mohammad Reza Zadkarami1Seyed Mohammad Reza Alavi2Dept. of Statistics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, IranDept. Statistics, Mathematical Sciences and computer college, Shahid Chamran university of Ahvaz, Ahvaz, IranDept. of Statistics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, IranWe introduce a method to generate a new class of lifetime models based on the bounded distributions such that the defined models are exclusively a special case of the new class. A new subfamily, Generalized Alpha Power (GAP) is discussed and some stochastic orders in this subfamily are investigated to identify the proposed method effect. The performance of the maximum likelihood estimators based on the simulation is studied and in the end, the importance and flexibility of the new family for the models are illustrated by a real data set. Our results indicate that using the proposed method substantially improves the fitness of any G-family model and can be extended to any real data set. Finally, the GAPTW regression model is applied to the kidney infection data.https://jsciences.ut.ac.ir/article_82253_b69149ad8a7699752453a32adbd9243d.pdfbounded distributiong-family modellifetimeregressionstochastic orders |
| spellingShingle | Araf Khanjari Idenak Mohammad Reza Zadkarami Seyed Mohammad Reza Alavi A New Lifetime Model, Stochastic Orders and Kidney Infection Regression Model Journal of Sciences, Islamic Republic of Iran bounded distribution g-family model lifetime regression stochastic orders |
| title | A New Lifetime Model, Stochastic Orders and Kidney Infection Regression Model |
| title_full | A New Lifetime Model, Stochastic Orders and Kidney Infection Regression Model |
| title_fullStr | A New Lifetime Model, Stochastic Orders and Kidney Infection Regression Model |
| title_full_unstemmed | A New Lifetime Model, Stochastic Orders and Kidney Infection Regression Model |
| title_short | A New Lifetime Model, Stochastic Orders and Kidney Infection Regression Model |
| title_sort | new lifetime model stochastic orders and kidney infection regression model |
| topic | bounded distribution g-family model lifetime regression stochastic orders |
| url | https://jsciences.ut.ac.ir/article_82253_b69149ad8a7699752453a32adbd9243d.pdf |
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