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19982022
most citedA full sky, low foreground, high resolution CMB map from WMAP

296 citations

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30 papers · 1 filter

math.ST2020★ 2 cited

Estimation of the -norm and testing in sparse linear regression with unknown variance

Alexandra Carpentier, Olivier Collier, Laetitia Comminges +2

We consider the related problems of estimating the -norm and the squared -norm in sparse linear regression with unknown variance, as well as the problem of testing the hy…

math.ST2020★ 3 cited

Kernel Selection in Nonparametric Regression

Hélène Halconruy, Nicolas Marie

In the regression model , where has a density , this paper deals with an oracle inequality for an estimator of , involving a kernel in the sen…

math.ST2020★ 10 cited

Nonparametric Estimation for I.I.D. Paths of Fractional SDE

Fabienne Comte, Nicolas Marie

This paper deals with nonparametric estimators of the drift function computed from independent continuous observations, on a compact time interval, of the solution of a stochas…

math.ST2020★ 12 cited

On a Nadaraya-Watson Estimator with Two Bandwidths

Fabienne Comte, Nicolas Marie

In a regression model, we write the Nadaraya-Watson estimator of the regression function as the quotient of two kernel estimators, and propose a bandwidth selection method for both…

math.ST2019

Minimax optimal estimators for general additive functional estimation

Olivier Collier, Laëtitia Comminges

In this paper, we observe a sparse mean vector through Gaussian noise and we aim at estimating some additive functional of the mean in the minimax sense. More precisely, we general…

math.ST2019★ 2 cited

Nonparametric Estimation of the Trend in Reflected Fractional SDE

Nicolas Marie

This paper deals with the consistency, a rate of convergence and the asymptotic distribution of a nonparametric estimator of the trend in the Skorokhod reflection problem defined b…