Absolutely continuous copulas obtained by regularization of the Frech\'{e}t--Hoeffding bounds
Probability
2016-03-14 v1
Abstract
We show that the lower and upper Frech\'{e}t-Hoeffding copulas, which are singular, can be regularized to absolutely continuous copulas. The method, which is constructive and explicit, states sufficient conditions for when an absolutely continuous copula can be achieved by averaging. A higher degree of regularisation cannot be achieved with the proposed method.
Keywords
Cite
@article{arxiv.1603.03693,
title = {Absolutely continuous copulas obtained by regularization of the Frech\'{e}t--Hoeffding bounds},
author = {Oscar Björnham and Niklas Brännström and Leif Persson},
journal= {arXiv preprint arXiv:1603.03693},
year = {2016}
}
Comments
12 pages, 1 figure