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Leif Persson

Publications and source records attributed to Leif Persson.

2 recordsLinked to original sources
arXiv2019

Absolutely continuous copulas with prescribed support constructed by differential equations, with an application in toxicology

A new method for constructing absolutely continuous two--dimensional copulas by differential equations is presented. The copulas are symmetric with respect to reflection in the opposite diagonal. The support of the copula density may be prescribed to arbitrary opposite symmetric hypographs of invertible functions, containing the diagonal. The method is applied to toxicological probit modeling, where new compatibility conditions for the probit parameters are derived.

math.PR↗
arXiv2016

Absolutely continuous copulas obtained by regularization of the Frechét--Hoeffding bounds

We show that the lower and upper Frechét-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.

math.PR↗