A Class of Nonparametric Estimators for Bivariate Extreme Value Copulas
AbstractExtreme value copulas are the limiting copulas of component-wise maxima. A bivariate extreme value copulas can be represented by a convex function called Pickands dependence function. In this paper we consider nonparametric estimation of the Pickands dependence function. Several estimators have been proposed. They can be classified into two types: Pickands-type estimators and Capéraà-Fougères-Genest-type estimators. We propose a new class of estimators, which contains these two types of estimators. Asymptotic properties of the estimators are investigated, and asymptotic efficiencies of them are discussed under Marshall-Olkin copulas.
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Bibliographic InfoPaper provided by Graduate School of Economics and Business Administration, Hokkaido University in its series Discussion paper series. A with number 230.
Length: 19 pages
Date of creation: Nov 2010
Date of revision:
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Bivariate exponential distribution; Extreme value distribution; Pickands dependence function;
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