# A new test procedure of independence in copula models via chi-square-divergence

1 LSTA - Laboratoire de Statistique Théorique et Appliquée 2 LMR - Laboratoire de Mathématiques de Reims Reims

Abstract : We introduce a new test procedure of independence in the framework of parametric copulas with unknown marginals. The method is based essentially on the dual representation of $\chi^2$-divergence on signed finite measures. The asymptotic properties of the proposed estimate and the test statistic are studied under the null and alternative hypotheses, with simple and standard limit distributions both when the parameter is an interior point or not.

Keywords : Semiparametric estimation. Semiparametric estimation Dependence function Gumbel copula pseudo-likelihood Asymptotic theory Multivariate rank statistic

Author: Salim Bouzebda - Amor Keziou -

Source: https://hal.archives-ouvertes.fr/