Title
On The Singular Components Of A Copula
Abstract
We analyze copulas with a nontrivial singular component by using their Markov kernel representation. In particular, we provide existence results for copulas with a prescribed singular component. The constructions not only help to deal with problems related to multivariate stochastic systems of lifetimes when joint defaults can occur with a nonzero probability, but even provide a copula maximizing the probability of joint default.
Year
DOI
Venue
2015
10.1017/S0021900200113154
JOURNAL OF APPLIED PROBABILITY
Keywords
DocType
Volume
Copula, coupling, disintegration theorem, Markov kernel, singular measure
Journal
52
Issue
ISSN
Citations 
4
0021-9002
3
PageRank 
References 
Authors
0.50
1
3
Name
Order
Citations
PageRank
Fabrizio Durante139159.28
J. Fernández-Sánchez2297.01
Wolfgang Trutschnig310410.91