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20022015
most citedCentral limit theorems for eigenvalues in a spiked population model

127 citations

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12 papers · 1 filter

math.ST2015

On clustering procedures and nonparametric mixture estimation

Stéphane Auray, Nicolas Klutchnikoff, Laurent Rouvière

This paper deals with nonparametric estimation of conditional den-sities in mixture models in the case when additional covariates are available. The proposed approach consists of p…

math.ST2013

Bootstrap Testing of the Rank of a Matrix via Least Squared Constrained Estimation

François Portier, Bernard Delyon

In order to test if an unknown matrix has a given rank (null hypothesis), we consider the family of statistics that are minimum squared distances between an estimator and the manif…

math.ST20123 cited

A Geometrical Approach to Iterative Isotone Regression

Arnaud Guyader, Nicolas Jégou, Alexander B. Németh +1

In the present paper, we propose and analyze a novel method for estimating a univariate regression function of bounded variation. The underpinning idea is to combine two classical…

math.ST20128 cited

Projection-based nonparametric goodness-of-fit testing with functional covariates

Valentin Patilea, Cesar Sanchez-Sellero, Matthieu Saumard

This paper studies the problem of nonparametric testing for the effect of a random functional covariate on a real-valued error term. The covariate takes values in , the H…

math.ST201215 cited

A uniform Berry--Esseen theorem on -estimators for geometrically ergodic Markov chains

Loïc Hervé, James Ledoux, Valentin Patilea

Let be a -geometrically ergodic Markov chain. Given some real-valued functional , define , $α\in\mathcal{A}\subs…

math.ST2012

The two-sample problem for Poisson processes: adaptive tests with a non-asymptotic wild bootstrap approach

Magalie Fromont, Béatrice Laurent, Patricia Reynaud-Bouret

Considering two independent Poisson processes, we address the question of testing equality of their respective intensities. We first propose single tests whose test statistics are…