Different copula types and reliability applications for a new fisk probability model
In this research endeavor, the authors introduce a novel lifetime probability model. This distribution is meticulously examined and characterized, offering insights into its behavior and applicability in various contexts. The proposed new density function of this distribution has various heavy tail...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S111001682401038X |
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| author | Mohammad Abiad Najwan Alsadat Meraou M. A M.M.Abd El-Raouf Haitham M. Yousof Anoop Kumar |
| author_facet | Mohammad Abiad Najwan Alsadat Meraou M. A M.M.Abd El-Raouf Haitham M. Yousof Anoop Kumar |
| author_sort | Mohammad Abiad |
| collection | DOAJ |
| description | In this research endeavor, the authors introduce a novel lifetime probability model. This distribution is meticulously examined and characterized, offering insights into its behavior and applicability in various contexts. The proposed new density function of this distribution has various heavy tail forms that are useful in the field of reliability, insurance and statistical modeling. This allows for the representation and modeling of a wide range of data sets that are diverse in their form and nature. The new distribution is characterized by having different patterns of risk or failure rates. The researchers extend the new distribution to the bivariate domain through different methods, including the Morgenstern-Farley-Gumbel distribution, the modified Morgenstern-Farley-Gumbel distribution, the famous Clayton mathematical versions, and the Rennie versions. These extensions enhance the usefulness of the proposed distribution in modeling multivariate age and reliability data and dependencies between variables. The study presents some statistical modeling experiments on reliability data and some important comparisons are presented within the framework of some statistical comparison criteria. |
| format | Article |
| id | doaj-art-428bb1387209461a8509c4622ae74b3a |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-428bb1387209461a8509c4622ae74b3a2025-01-09T06:13:15ZengElsevierAlexandria Engineering Journal1110-01682025-01-01110512526Different copula types and reliability applications for a new fisk probability modelMohammad Abiad0Najwan Alsadat1Meraou M. A2M.M.Abd El-Raouf3Haitham M. Yousof4Anoop Kumar5College of Business Administration, American University of the Middle East, KuwaitDepartment of Quantitative Analysis, College of Business Administration, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi ArabiaLaboratory of Statistics and Stochastic Processes, University of Djillali Liabes, BP 89, Sidi Bel, Abbes 22000, AlgeriaBasic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport (AASTMT), Alexandria, EgyptDepartment of Statistics, Mathematics and Insurance, Faculty of Commerce, Benha University, Benha 13511, Egypt; Corresponding author.Department of Statistics, Faculty of Basic Science, Central University of Haryana, Mahendergarh 123031, IndiaIn this research endeavor, the authors introduce a novel lifetime probability model. This distribution is meticulously examined and characterized, offering insights into its behavior and applicability in various contexts. The proposed new density function of this distribution has various heavy tail forms that are useful in the field of reliability, insurance and statistical modeling. This allows for the representation and modeling of a wide range of data sets that are diverse in their form and nature. The new distribution is characterized by having different patterns of risk or failure rates. The researchers extend the new distribution to the bivariate domain through different methods, including the Morgenstern-Farley-Gumbel distribution, the modified Morgenstern-Farley-Gumbel distribution, the famous Clayton mathematical versions, and the Rennie versions. These extensions enhance the usefulness of the proposed distribution in modeling multivariate age and reliability data and dependencies between variables. The study presents some statistical modeling experiments on reliability data and some important comparisons are presented within the framework of some statistical comparison criteria.http://www.sciencedirect.com/science/article/pii/S111001682401038XReliability Fisk ModelLiehmann G FamilyMarshall-Olkin G familyCopulaSimulations ExperimentsEntropy Copula |
| spellingShingle | Mohammad Abiad Najwan Alsadat Meraou M. A M.M.Abd El-Raouf Haitham M. Yousof Anoop Kumar Different copula types and reliability applications for a new fisk probability model Alexandria Engineering Journal Reliability Fisk Model Liehmann G Family Marshall-Olkin G family Copula Simulations Experiments Entropy Copula |
| title | Different copula types and reliability applications for a new fisk probability model |
| title_full | Different copula types and reliability applications for a new fisk probability model |
| title_fullStr | Different copula types and reliability applications for a new fisk probability model |
| title_full_unstemmed | Different copula types and reliability applications for a new fisk probability model |
| title_short | Different copula types and reliability applications for a new fisk probability model |
| title_sort | different copula types and reliability applications for a new fisk probability model |
| topic | Reliability Fisk Model Liehmann G Family Marshall-Olkin G family Copula Simulations Experiments Entropy Copula |
| url | http://www.sciencedirect.com/science/article/pii/S111001682401038X |
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