3 papers
math.ST2020
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…
math.ST2018
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…
math.ST2012
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…