Moments and associated measures of copulas with fractal support

Copulas are closely related to the study of distributions and the dependence between random variables. In this paper we develop a recurrence formula for the moments of a measure associated with a copula (a bivariate distribution function with uniform one-dimensional marginals) in the case that its s...

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Main Authors: Amo Artero, Enrique de, Díaz Carrillo, Manuel, Fernández Sánchez, Juan, Salmerón Cerdán, Antonio
Format: info:eu-repo/semantics/article
Language:English
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/10835/4892
https://doi.org/10.1016/j.amc.2012.02.025
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author Amo Artero, Enrique de
Díaz Carrillo, Manuel
Fernández Sánchez, Juan
Salmerón Cerdán, Antonio
author_facet Amo Artero, Enrique de
Díaz Carrillo, Manuel
Fernández Sánchez, Juan
Salmerón Cerdán, Antonio
author_sort Amo Artero, Enrique de
collection DSpace
description Copulas are closely related to the study of distributions and the dependence between random variables. In this paper we develop a recurrence formula for the moments of a measure associated with a copula (a bivariate distribution function with uniform one-dimensional marginals) in the case that its support is a fractal set. We do the same for its principal and secondary diagonals. We also study certain measures of dependence or association for these copulas with fractal supports.
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spelling oai:repositorio.ual.es:10835-48922023-10-30T14:09:15Z Moments and associated measures of copulas with fractal support Amo Artero, Enrique de Díaz Carrillo, Manuel Fernández Sánchez, Juan Salmerón Cerdán, Antonio Moment Copula Distribution function Copulas are closely related to the study of distributions and the dependence between random variables. In this paper we develop a recurrence formula for the moments of a measure associated with a copula (a bivariate distribution function with uniform one-dimensional marginals) in the case that its support is a fractal set. We do the same for its principal and secondary diagonals. We also study certain measures of dependence or association for these copulas with fractal supports. 2017-07-07T07:17:00Z 2017-07-07T07:17:00Z 2012 info:eu-repo/semantics/article http://hdl.handle.net/10835/4892 https://doi.org/10.1016/j.amc.2012.02.025 en Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess
spellingShingle Moment
Copula
Distribution function
Amo Artero, Enrique de
Díaz Carrillo, Manuel
Fernández Sánchez, Juan
Salmerón Cerdán, Antonio
Moments and associated measures of copulas with fractal support
title Moments and associated measures of copulas with fractal support
title_full Moments and associated measures of copulas with fractal support
title_fullStr Moments and associated measures of copulas with fractal support
title_full_unstemmed Moments and associated measures of copulas with fractal support
title_short Moments and associated measures of copulas with fractal support
title_sort moments and associated measures of copulas with fractal support
topic Moment
Copula
Distribution function
url http://hdl.handle.net/10835/4892
https://doi.org/10.1016/j.amc.2012.02.025
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