Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models

Rasha Abd-Elwahaab Attwa; Taha Radwan; Esraa Osama Abo Zaid; Rasha Abd-Elwahaab Attwa; Taha Radwan; Esraa Osama Abo Zaid

doi:10.3934/math.20231292

AIMS Mathematics

2023, Volume 8, Issue 11: 25325-25342. doi: 10.3934/math.20231292

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Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models

1.
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt; Email: Rasha_atwa75@hotmail.com
2.
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.com
4.
Department of Mathematics and Computer Science, Faculty of Science, Suez University, Suez, Egypt; Email: esraa.abozaid@sci.suezuni.edu.eg

Received: 13 March 2023 Revised: 30 July 2023 Accepted: 01 August 2023 Published: 30 August 2023
MSC : 60G70, 62G30

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.
- mathematical model,
- statistical model,
- FGM,
- extended Weibull family of disributions,
- q-extended Weibull family of disributions
Citation: 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[J]. AIMS Mathematics, 2023, 8(11): 25325-25342. doi: 10.3934/math.20231292

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Abstract

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.

References

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