An alternative statistical model for modeling the bimodal asymmetric data with properties, copulas, assessment and applications
This study derives and investigates an extension of the Chen distribution that extends it in a new and flexible way. The well-known Chen distribution, which is renowned for its high level of adaptability and a wide variety of potential applications, was utilized as the foundation for creating the ne...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-04-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016825000961 |
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| author | Mustafa Kamal Hebatallah H. Mohammad Sabir Ali Siddiqui Maryam Ibrahim Habadi Mohammad Abiad Badr Aloraini Atif Ali Yassin Ali Sara Mohamed Ahmed Alsheikh |
| author_facet | Mustafa Kamal Hebatallah H. Mohammad Sabir Ali Siddiqui Maryam Ibrahim Habadi Mohammad Abiad Badr Aloraini Atif Ali Yassin Ali Sara Mohamed Ahmed Alsheikh |
| author_sort | Mustafa Kamal |
| collection | DOAJ |
| description | This study derives and investigates an extension of the Chen distribution that extends it in a new and flexible way. The well-known Chen distribution, which is renowned for its high level of adaptability and a wide variety of potential applications, was utilized as the foundation for creating the new model. The newly derived hazard rate can be defined as “monotonically increasing”, “bathtub”, “upside-down”, “upside-down-constant-increasing”, “J hazard rate”, or “bathtub”. Other possible descriptions include “monotonically decreasing”, “bathtub”, “upside-down”, “upside down-constant-increasing”, and “upside down”. Other terms that could describe it are “monotonically decreasing” and “bathtub”. It is possible to determine the pertinent statistical features, such as the mean of the remaining life, the mean of the past lifespan, raw and central moments, conditional moments, and the mean. Some examples of the bivariate extensions that we developed are presented. Finally, we studied and analyzed two data sets to demonstrate the new model’s relevance, flexibility, and applicability. |
| format | Article |
| id | doaj-art-6ba805c5717747cd8132e06fa73fb602 |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-6ba805c5717747cd8132e06fa73fb6022025-02-07T04:47:12ZengElsevierAlexandria Engineering Journal1110-01682025-04-01119400412An alternative statistical model for modeling the bimodal asymmetric data with properties, copulas, assessment and applicationsMustafa Kamal0Hebatallah H. Mohammad1Sabir Ali Siddiqui2Maryam Ibrahim Habadi3Mohammad Abiad4Badr Aloraini5Atif Ali Yassin Ali6Sara Mohamed Ahmed Alsheikh7Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Dammam, 32256, Saudi ArabiaDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics and Sciences, College of Arts and Applied Sciences, Dhofar University, Salalah, OmanDepartment of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaCollege of Business Administration, American University of the Middle East, KuwaitDepartment of Mathematics, College of Science and Humanities, Shaqra University, 11961 Shaqra, Saudi Arabia; Corresponding author.Department of Statistics, Faculty of Science, University of Tabuk, Tabuk, Saudi ArabiaDepartment of Statistics, Faculty of Science, University of Tabuk, Tabuk, Saudi ArabiaThis study derives and investigates an extension of the Chen distribution that extends it in a new and flexible way. The well-known Chen distribution, which is renowned for its high level of adaptability and a wide variety of potential applications, was utilized as the foundation for creating the new model. The newly derived hazard rate can be defined as “monotonically increasing”, “bathtub”, “upside-down”, “upside-down-constant-increasing”, “J hazard rate”, or “bathtub”. Other possible descriptions include “monotonically decreasing”, “bathtub”, “upside-down”, “upside down-constant-increasing”, and “upside down”. Other terms that could describe it are “monotonically decreasing” and “bathtub”. It is possible to determine the pertinent statistical features, such as the mean of the remaining life, the mean of the past lifespan, raw and central moments, conditional moments, and the mean. Some examples of the bivariate extensions that we developed are presented. Finally, we studied and analyzed two data sets to demonstrate the new model’s relevance, flexibility, and applicability.http://www.sciencedirect.com/science/article/pii/S1110016825000961Farlie–Gumbel–Morgenstern CopulaChen distributionMaximum likelihoodHazard rate |
| spellingShingle | Mustafa Kamal Hebatallah H. Mohammad Sabir Ali Siddiqui Maryam Ibrahim Habadi Mohammad Abiad Badr Aloraini Atif Ali Yassin Ali Sara Mohamed Ahmed Alsheikh An alternative statistical model for modeling the bimodal asymmetric data with properties, copulas, assessment and applications Alexandria Engineering Journal Farlie–Gumbel–Morgenstern Copula Chen distribution Maximum likelihood Hazard rate |
| title | An alternative statistical model for modeling the bimodal asymmetric data with properties, copulas, assessment and applications |
| title_full | An alternative statistical model for modeling the bimodal asymmetric data with properties, copulas, assessment and applications |
| title_fullStr | An alternative statistical model for modeling the bimodal asymmetric data with properties, copulas, assessment and applications |
| title_full_unstemmed | An alternative statistical model for modeling the bimodal asymmetric data with properties, copulas, assessment and applications |
| title_short | An alternative statistical model for modeling the bimodal asymmetric data with properties, copulas, assessment and applications |
| title_sort | alternative statistical model for modeling the bimodal asymmetric data with properties copulas assessment and applications |
| topic | Farlie–Gumbel–Morgenstern Copula Chen distribution Maximum likelihood Hazard rate |
| url | http://www.sciencedirect.com/science/article/pii/S1110016825000961 |
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