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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
DOI:
https://doi.org/10.1016/j.aml.2013.04.005
Handle:
https://hdl.handle.net/10863/439
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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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Title
A topological proof of Sklar's theorem
Creators
Fabrizio Durante
Juan Fernández-Sánchez
Carlo Sempi
Publication Details
Applied Mathematics Letters, Vol.26(9), pp.945-948
ISSN
0893-9659
EISSN
1873-5452
Series / Volume
26
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Number of pages
4
Identifiers
(UNIBZ)1843260
991005773174001241
Web of Science ID
WOS:000320840800006
Scopus ID
2-s2.0-84878488672
Academic Unit
Faculty of Economics and Management
Language
English
Resource Type
Journal article
Author Names String
Durante F, Fernández-Sánchez J, Sempi C
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