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A topological proof of Sklar's theorem
Journal article   Peer reviewed

A topological proof of Sklar's theorem

Fabrizio Durante, Juan Fernández-Sánchez and Carlo Sempi
Applied Mathematics Letters, Vol.26(9), pp.945-948
26
01/09/2013
Handle:
https://hdl.handle.net/10863/439

Abstract

Copulas Sklar's theorem
We present a proof of Sklar's Theorem that uses topological arguments, namely compactness (under the weak topology) of the class of copulas and some density properties of the class of distribution functions.

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