Moments and associated measures of copulas with fractal support
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URI: http://hdl.handle.net/10835/4892
DOI: https://doi.org/10.1016/j.amc.2012.02.025
DOI: https://doi.org/10.1016/j.amc.2012.02.025
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Amo Artero, Enrique de; Díaz Carrillo, Manuel; Fernández Sánchez, Juan; Salmerón Cerdán, AntonioFecha
2012Resumen
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.
Palabra/s clave
Moment
Copula
Distribution function