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A test of independence in some copula models
Authors:S. Bouzebda  A. Keziou
Affiliation:(1) LSTA-Univ. Paris 6, Paris, France;(2) Laboratoire de Math. (UMR 6056) CNRS, Univ. de Reims Champagne-Ardenne and LSTA-Univ. Paris 6, Reims, France
Abstract:The purpose of this paper is to provide limit laws for semiparametric estimators of copulas. Some statistical tests of independence are introduced as a consequence of this methodology. We are primarily concernedwith the case where the parameter lies on the boundary of the admissible domain.
Keywords:dependence function  pseudo-likelihood  asymptotic theory  multivariate rank statistics  semiparametric statistics
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