标题： 非参数估计从漂移二阶过程的相关副本 显示英文标题

标题： Nonparametric Estimation from Correlated Copies of a Drifted 2nd-Order Process

摘要： 本文介绍了几种导致观察到漂移二阶过程的多个-可能相关的-副本的情况，然后建立了漂移函数 $b_0$ 及其导数的非参数估计量的非渐近风险界。对于具有足够规则协方差函数的漂移高斯过程，建立了 $b_0'$ 估计量的更紧的风险界，并提供了具有理论保证的模型选择过程。 显示英文摘要

摘要： This paper presents several situations leading to the observation of multiple - possibly correlated - copies of a drifted 2nd-order process, and then non-asymptotic risk bounds are established on nonparametric estimators of the drift function $b_0$ and its derivative. For drifted Gaussian processes with a regular enough covariance function, a sharper risk bound is established on the estimator of $b_0'$, and a model selection procedure is provided with theoretical guarantees.