39 citations · 123 across the 11 of their papers we have counts for
11 papers
Strong approximations for the -fold integrated empirical process with applications to statistical tests
Sergio Alvarez-Andrade, Salim Bouzebda, Aimé Lachal
The main purpose of this paper is to investigate the strong approximation of the -fold integrated empirical process, being a fixed positive integer. More precisely, we obtai…
Some asymptotic results for the integrated empirical process with applications to statistical tests
Sergio Alvarez-Andrade, Salim Bouzebda, Aimé Lachal
The main purpose of this paper is to investigate the strong approximation of the integrated empirical process. More precisely, we obtain the exact rate of the approximations by a s…
A Strong Invariance Theorem of the Tail Empirical Copula Processes
Salim Bouzebda, Tarek Zari
We study the behavior of bivariate empirical copula process on pavements of where is a sequence of positive constants ful…
New Entropy Estimator with an Application to Test of Normality
Salim Bouzebda, Issam Elhattab, Amor Keziou +1
In the present paper we propose a new estimator of entropy based on smooth estimators of quantile density. The consistency and asymptotic distribution of the proposed estimates are…
General bootstrap for dual phi-divergence estimates
Salim Bouzebda, Mohamed Cherfi
A general notion of bootstrapped -divergence estimates constructed by exchangeably weighting sample is introduced. Asymptotic properties of these generalized bootstrapped -di…
Approximation for general bootstrap of empirical processes with an application to kernel-type density estimation
Salim Bouzebda, Omar El-Dakkak
The purpose of this note is to provide an approximation for the generalized bootstrapped empirical process achieving the rate in Kolmos et al. (1975). The proof is based on much th…