Properties and Applications of Neutrosophic Burr XII Distribution
Abstract Primarily, when the hazards function has intricate structures, the BrXII distribution is an established framework for lifetime data analysis. However, classical probability models are limited in the sense that they cannot measure or record the data in exactness fueling the notion of indeter...
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| Format: | Article |
| Language: | English |
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Springer
2025-01-01
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| Series: | International Journal of Computational Intelligence Systems |
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| Online Access: | https://doi.org/10.1007/s44196-024-00721-3 |
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| author | Laila A. Al-Essa Farrukh Jamal Shakaiba Shafiq Sadaf Khan Qamer Abbas Rehan Ahmad Khan Sherwani Muhammad Aslam |
| author_facet | Laila A. Al-Essa Farrukh Jamal Shakaiba Shafiq Sadaf Khan Qamer Abbas Rehan Ahmad Khan Sherwani Muhammad Aslam |
| author_sort | Laila A. Al-Essa |
| collection | DOAJ |
| description | Abstract Primarily, when the hazards function has intricate structures, the BrXII distribution is an established framework for lifetime data analysis. However, classical probability models are limited in the sense that they cannot measure or record the data in exactness fueling the notion of indeterminacy in data collection process. This study addresses this issue by proposing the idea of neutrosophic BrXII (NeS-BrXII) distribution. The primary objective is to study the statistical properties of the proposed model by providing explicit expressions of reliability properties, the expression of moments and generating function, expression of order statistics, mean residual life, mean inactivity time, stochastic ordering, income inequality measures, and entropy in neutrosophic realm. In addition, the neutrosophic model parameters are estimated using the principle of maximum-likelihood estimation. Further, the precision of these model estimates is verified via a simulation study of the proposed model. Applying the model on two real-world material sciences data sets reinforces its efficacy with the NeS-BrXII distribution proving to be more suitable for managing anomalies in neutrosophic surface analysis among other models. |
| format | Article |
| id | doaj-art-ceb4250bbae94122a4c72159f7773f0c |
| institution | Kabale University |
| issn | 1875-6883 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj-art-ceb4250bbae94122a4c72159f7773f0c2025-01-26T12:51:46ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832025-01-0118111110.1007/s44196-024-00721-3Properties and Applications of Neutrosophic Burr XII DistributionLaila A. Al-Essa0Farrukh Jamal1Shakaiba Shafiq2Sadaf Khan3Qamer Abbas4Rehan Ahmad Khan Sherwani5Muhammad Aslam6Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman UniversityDepartment of Statistics, The Islamia University of BahawalpurDepartment of Statistics, The Islamia University of BahawalpurDepartment of Statistics, The Islamia University of BahawalpurDepartment of Statistics, The Islamia University of BahawalpurCollege of Statistical and Actuarial Sciences, University of the PunjabDepartment of Statistics, Faculty of Science, King Abdulaziz UniversityAbstract Primarily, when the hazards function has intricate structures, the BrXII distribution is an established framework for lifetime data analysis. However, classical probability models are limited in the sense that they cannot measure or record the data in exactness fueling the notion of indeterminacy in data collection process. This study addresses this issue by proposing the idea of neutrosophic BrXII (NeS-BrXII) distribution. The primary objective is to study the statistical properties of the proposed model by providing explicit expressions of reliability properties, the expression of moments and generating function, expression of order statistics, mean residual life, mean inactivity time, stochastic ordering, income inequality measures, and entropy in neutrosophic realm. In addition, the neutrosophic model parameters are estimated using the principle of maximum-likelihood estimation. Further, the precision of these model estimates is verified via a simulation study of the proposed model. Applying the model on two real-world material sciences data sets reinforces its efficacy with the NeS-BrXII distribution proving to be more suitable for managing anomalies in neutrosophic surface analysis among other models.https://doi.org/10.1007/s44196-024-00721-3BXII distributionConditional momentsNeS-BrXII distributionNeutrosophic |
| spellingShingle | Laila A. Al-Essa Farrukh Jamal Shakaiba Shafiq Sadaf Khan Qamer Abbas Rehan Ahmad Khan Sherwani Muhammad Aslam Properties and Applications of Neutrosophic Burr XII Distribution International Journal of Computational Intelligence Systems BXII distribution Conditional moments NeS-BrXII distribution Neutrosophic |
| title | Properties and Applications of Neutrosophic Burr XII Distribution |
| title_full | Properties and Applications of Neutrosophic Burr XII Distribution |
| title_fullStr | Properties and Applications of Neutrosophic Burr XII Distribution |
| title_full_unstemmed | Properties and Applications of Neutrosophic Burr XII Distribution |
| title_short | Properties and Applications of Neutrosophic Burr XII Distribution |
| title_sort | properties and applications of neutrosophic burr xii distribution |
| topic | BXII distribution Conditional moments NeS-BrXII distribution Neutrosophic |
| url | https://doi.org/10.1007/s44196-024-00721-3 |
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