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Research Article | Open Access

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

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt; Email: Rasha_atwa75@hotmail.com
Department of Management Information Systems, College of Business Administration, Qassim University, Buraydah, Saudi Arabia; Email: t.radwan@qu.edu.sa
Department of Mathematics and Statistics, Faculty of Management Technology and Information Systems, Port Said University, Port Said, Egypt; Email: taha_ali_2003@hotmail.com
Department of Mathematics and Computer Science, Faculty of Science, Suez University, Suez, Egypt; Email: esraa.abozaid@sci.suezuni.edu.eg
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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.

Keywords

mathematical modelstatistical modelFGMextended Weibull family of disributionsq-extended Weibull family of disributions
CLC number: 60G70, 62G30

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 25325-25342
DOI: 10.3934/math.20231292

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Attwa RA-E, Radwan T, Zaid EOA. Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models. AIMS Mathematics, 2023, 8(11): 25325-25342. https://doi.org/10.3934/math.20231292

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Received: 13 March 2023
Revised: 30 July 2023
Accepted: 01 August 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)