On the measure induced by copulas that are invariant under univariate truncation

The probability mass distribution of a class of copulas that are invariant under univariate truncation is presented. In particular, it is shown how (differential) properties of the generator of the copula are able to identify the singular (respectively, absolutely continuous) component of the induce...

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Bibliografiske detaljer
Main Authors: Durante, Fabrizio, Fernández Sánchez, Juan, Úbeda Flores, Manuel
Format: info:eu-repo/semantics/article
Sprog:English
Udgivet: 2023
Fag:
Online adgang:https://www.sciencedirect.com/science/article/abs/pii/S0165011422001634
http://hdl.handle.net/10835/14924
Beskrivelse
Summary:The probability mass distribution of a class of copulas that are invariant under univariate truncation is presented. In particular, it is shown how (differential) properties of the generator of the copula are able to identify the singular (respectively, absolutely continuous) component of the induced measure and its support.