1 citations · 1 across the 5 of their papers we have counts for
5 papers
The Bahadur representation of sample quantiles for associated sequences
Lahcen Douge
In this paper, the Bahadur representation of sample quantiles based on associated sequences is established under polynomially decaying of covariances. The rate of approximation dep…
A nonparametric distribution-free test of independence among continuous random vectors based on \texorpdfstring{}{}-norm
Nour-Eddine Berrahou, Salim Bouzebda, Lahcen Douge
We propose a novel statistical test to assess the mutual independence of multidimensional random vectors. Our approach is based on the -distance between the joint density func…
A Berry-Esseen theorem for sample quantiles under association
L. Douge
In this paper, the uniformly asymptotic normality for sample quantiles of associated random variables is investigated under some conditions on the decay of the covariances. We obta…
Nonparametric regression estimation for quasi-associated Hilbertian processes
Lahcen Douge
We establish the asymptotic normality of the kernel type estimator for the regression function constructed from quasi-associated data when the explanatory variable takes its values…
Bahadur efficiency of nonparametric test for independence based on -error
Noureddine Berrahou, Lahcen Douge
We introduce new test statistic to test the independence of two multi-dimensional random variables. Based on the -distance and the historgram density estimation method, the te…