Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models
A bivariate extension of a flexible univariate family is proposed. The new family is called bivariate q-extended Weibull Morgenstern family of distributions which can be constructed based on the Farlie-Gumbel-Morgenstern (FGM) copula technique. After introducing the new family, four sub-models are d...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-08-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231292?viewType=HTML |
| _version_ | 1827808139351687168 |
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| author | Rasha Abd-Elwahaab Attwa Taha Radwan Esraa Osama Abo Zaid |
| author_facet | Rasha Abd-Elwahaab Attwa Taha Radwan Esraa Osama Abo Zaid |
| author_sort | Rasha Abd-Elwahaab Attwa |
| collection | DOAJ |
| description | A bivariate extension of a flexible univariate family is proposed. The new family is called bivariate q-extended Weibull Morgenstern family of distributions which can be constructed based on the Farlie-Gumbel-Morgenstern (FGM) copula technique. After introducing the new family, four sub-models are discussed in detail from the theoretical and numerical coefficient of correlation point of view with pointing to the effect of the $ q $ parameter. |
| first_indexed | 2024-03-11T22:07:01Z |
| format | Article |
| id | doaj.art-85fe1d7a2baf4bafb37f589e20b85c2d |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T22:07:01Z |
| publishDate | 2023-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-85fe1d7a2baf4bafb37f589e20b85c2d2023-09-25T01:21:23ZengAIMS PressAIMS Mathematics2473-69882023-08-01811253252534210.3934/math.20231292Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-modelsRasha Abd-Elwahaab Attwa 0Taha Radwan 1Esraa Osama Abo Zaid21. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt; Email: Rasha_atwa75@hotmail.com2. Department of Management Information Systems, College of Business Administration, Qassim University, Buraydah, Saudi Arabia; Email: t.radwan@qu.edu.sa 3. Department of Mathematics and Statistics, Faculty of Management Technology and Information Systems, Port Said University, Port Said, Egypt; Email: taha_ali_2003@hotmail.com4. Department of Mathematics and Computer Science, Faculty of Science, Suez University, Suez, Egypt; Email: esraa.abozaid@sci.suezuni.edu.egA bivariate extension of a flexible univariate family is proposed. The new family is called bivariate q-extended Weibull Morgenstern family of distributions which can be constructed based on the Farlie-Gumbel-Morgenstern (FGM) copula technique. After introducing the new family, four sub-models are discussed in detail from the theoretical and numerical coefficient of correlation point of view with pointing to the effect of the $ q $ parameter.https://www.aimspress.com/article/doi/10.3934/math.20231292?viewType=HTMLmathematical modelstatistical modelfgmextended weibull family of disributionsq-extended weibull family of disributions |
| spellingShingle | Rasha Abd-Elwahaab Attwa Taha Radwan Esraa Osama Abo Zaid Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models AIMS Mathematics mathematical model statistical model fgm extended weibull family of disributions q-extended weibull family of disributions |
| title | Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models |
| title_full | Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models |
| title_fullStr | Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models |
| title_full_unstemmed | Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models |
| title_short | Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models |
| title_sort | bivariate q extended weibull morgenstern family and correlation coefficient formulas for some of its sub models |
| topic | mathematical model statistical model fgm extended weibull family of disributions q-extended weibull family of disributions |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231292?viewType=HTML |
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