Evarist Gin'e

activity

19992012

most citedExponential and moment inequalities for U-statistics

167 citations · 793 across the 13 of their papers we have counts for

collaborators

Showing 2008 · math.STShow all

3 papers · 2 filters

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★ 29 cited

Adaptive estimation of a distribution function and its density in sup-norm loss by wavelet and spline projections

Evarist Giné, Richard Nickl

Given an i.i.d. sample from a distribution $F$ on $R$ with uniformly continuous density $p_{0}$ , purely data-driven estimators are constructed that efficiently estimate $F$ …

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_{\…