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20112024
most citedNonparametric Estimation in Fractional SDE

23 citations

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8 papers · 1 filter

math.ST2024

Warped Kernel Estimator for I.I.D. Paths of Diffusion Processes

Nicolas Marie, Amélie Rosier

This paper deals with a nonparametric warped kernel estimator of the drift function computed from independent continuous observations of a diffusion process. A risk bo…

math.ST2021★ 23 cited

Nadaraya-Watson Estimator for I.I.D. Paths of Diffusion Processes

Nicolas Marie, Amélie Rosier

This paper deals with a nonparametric Nadaraya-Watson estimator of the drift function computed from independent continuous observations of a diffusion process. Risk bounds…

math.ST2021★ 1 cited

Tight Risk Bound for High Dimensional Time Series Completion

Pierre Alquier, Nicolas Marie, Amélie Rosier

Initially designed for independent datas, low-rank matrix completion was successfully applied in many domains to the reconstruction of partially observed high-dimensional time seri…

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.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…

math.ST2019★ 7 cited

Matrix factorization for multivariate time series analysis

Pierre Alquier, Nicolas Marie

Matrix factorization is a powerful data analysis tool. It has been used in multivariate time series analysis, leading to the decomposition of the series in a small set of latent fa…

math.ST2019★ 12 cited

Bandwidth Selection for the Wolverton-Wagner Estimator

Fabienne Comte, Nicolas Marie

For independent random variables having the same Hölder continuous density, this paper deals with controls of the Wolverton-Wagner's estimator MSE and MISE. Then, for a bandwid…