<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>New copulas, based on perturbation theory, are introduced to clarify a <italic>symmetrization</italic> procedure for asymmetric copulas. We give also some properties of the <italic>symmetrized</italic> copula mainly conservation of concordance. Finally, we examine some copulas with a prescribed symmetrized part. The start point of the treatment is the independence copula and the last one will be an arbitrary member of Farlie-Gumbel-Morgenstein family. By the way, we study topologically, the set of all symmetric copulas and give some of its classical and new properties.</p>
</abstract>

New copulas, based on perturbation theory, are introduced to clarify a symmetrization procedure for asymmetric copulas. We give also some properties of the symmetrized copula mainly conservation of concordance. Finally, we examine some copulas with a prescribed symmetrized part. The start point of the treatment is the independence copula and the last one will be an arbitrary member of Farlie-Gumbel-Morgenstein family. By the way, we study topologically, the set of all symmetric copulas and give some of its classical and new properties.

New asymmetric perturbations of FGM bivariate copulas and concordance preserving problems

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

New copulas, based on perturbation theory, are introduced to clarify a symmetrization procedure for asymmetric copulas. We give also some properties of the...

New asymmetric perturbations of FGM bivariate copulas and concordance preserving problems

Publicado en línea: 01 feb 2023

Páginas: 111 - 126

Recibido: 05 nov 2022

Aceptado: 20 ene 2023

DOI: https://doi.org/10.2478/mjpaa-2023-0008

Palabras clave
Bivariate copula, FGM copulas, Asymmetry, Concordance and perturbation

© 2023 Mohamed El maazouz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

New asymmetric perturbations of FGM bivariate copulas and concordance preserving problems

Publicado en línea: 01 feb 2023

Páginas: 111 - 126

Recibido: 05 nov 2022

Aceptado: 20 ene 2023

DOI: https://doi.org/10.2478/mjpaa-2023-0008

Palabras claveBivariate copula, FGM copulas, Asymmetry, Concordance and perturbation

© 2023 Mohamed El maazouz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Palabras clave
Bivariate copula, FGM copulas, Asymmetry, Concordance and perturbation