Evarist Gin'e

most citedOn local

U

-statistic processes and the estimation of densities of functions of several sample variables

64 citations · 145 across the 3 of their papers we have counts for

collaborators

3 papers

math.ST2008★ 45 cited

Uniform limit theorems for wavelet density estimators

Evarist Giné, Richard Nickl

Let $p_{n} (y) = \sum_{k} α^_{k} ϕ (y - k) + \sum_{l = 0}^{j_{n} - 1} \sum_{k} β^_{l k} 2^{l /2} ψ (2^{l} y - k)$ be the linear wavelet density estimator, where $ϕ$ , $ψ$ are a father and a mother wavelet (with…

math.ST2008★ 36 cited

A simple adaptive estimator of the integrated square of a density

Evarist Giné, Richard Nickl

Given an i.i.d. sample $X_{1}, ..., X_{n}$ with common bounded density $f_{0}$ belonging to a Sobolev space of order $α$ over the real line, estimation of the quadratic functional $\int_{\…

math.ST2007★ 64 cited

On local $U$ -statistic processes and the estimation of densities of functions of several sample variables

Evarist Giné, David M. Mason

A notion of local $U$ -statistic process is introduced and central limit theorems in various norms are obtained for it. This involves the development of several inequalities for $U$ …

Uniform limit theorems for wavelet density estimators

A simple adaptive estimator of the integrated square of a density

On local U-statistic processes and the estimation of densities of functions of several sample variables

On local $U$ -statistic processes and the estimation of densities of functions of several sample variables