39 citations · 123 across the 11 of their papers we have counts for
5 papers · 1 filter
Strong Approximation of Empirical Copula Processes by Gaussian Processes
Salim Bouzebda, Tarek Zari
We provide the strong approximation of empirical copula processes by a Gaussian process. In addition we establish a strong approximation of the smoothed empirical copula processes…
On the strong approximation and functional limit laws for the increments of the non-overlapping k-spacings processes
Salim Bouzebda, Nabil Nessigha
The first aim of the present paper, is to establish strong approximations of the uniform non-overlapping k-spacings process extending the results of Aly et al. (1984). Our methods…
Uniform-in-bandwidth consistency for kernel-type estimators of Shannon's entropy
Salim Bouzebda, Issam Elhattab
We establish uniform-in-bandwidth consistency for kernel-type estimators of the differential entropy. We consider two kernel-type estimators of Shannon's entropy. As a consequence,…
New estimates and tests of independence in some copula models
Salim Bouzebda, Amor Keziou
We introduce new estimates and tests of independence in copula models with unknown margins using -divergences and the duality technique. The asymptotic laws of the estimates and…
A new test procedure of independence in copula models via chi-square-divergence
Salim Bouzebda, Amor Keziou
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 …