Estimator selection: a new method with applications to kernel density estimation
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Publication:1688428
DOI10.1007/s13171-017-0107-5OpenAlexW2475577614MaRDI QIDQ1688428
Vincent Rivoirard, Claire Lacour, Pascal Massart
Publication date: 5 January 2018
Published in: Sankhyā. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.05091
kernel density estimationconcentration inequalitiesoracle inequalityestimator selectionpenalization methods
Estimation in multivariate analysis (62H12) Nonparametric estimation (62G05) Minimax procedures in statistical decision theory (62C20)
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Cites Work
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- Detecting multiple change-points in the mean of Gaussian process by model selection
- Adaptive pointwise estimation of conditional density function
- Upper functions for positive random functionals. II. Application to the empirical processes theory. I
- On adaptive minimax density estimation on \(\mathbb R^d\)
- Optimal model selection in density estimation
- Adaptive Dantzig density estimation
- Bandwidth selection in kernel density estimation: oracle inequalities and adaptive minimax optimality
- Adaptive density estimation: A curse of support?
- Slope heuristics: overview and implementation
- Adaptive density estimation using the blockwise Stein method
- Concentration inequalities and model selection. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003.
- Structural adaptation via \(\mathbb L_p\)-norm oracle inequalities
- Universal pointwise selection rule in multivariate function estimation
- Learning algorithm for nonparametric filtering
- Optimal filtering of square-integrable signals in Gaussian noise
- Estimating the dimension of a model
- Minimum contrast estimators on sieves: Exponential bounds and rates of convergence
- Risk bounds for model selection via penalization
- Rates of convergence for minimum contrast estimators
- Density estimation by wavelet thresholding
- Optimal model selection in heteroscedastic regression using piecewise polynomial functions
- Minimal penalties for Gaussian model selection
- Simultaneous analysis of Lasso and Dantzig selector
- General Selection Rule from a Family of Linear Estimators
- Nonparametric Estimation of the Division Rate of a Size-Structured Population
- Asymptotically Minimax Adaptive Estimation. I: Upper Bounds. Optimally Adaptive Estimates
- Nonlinear Estimation in Anisotropic Multi-Index Denoising. Sparse Case
- Minimum complexity density estimation
- Ideal spatial adaptation by wavelet shrinkage
- On a Problem of Adaptive Estimation in Gaussian White Noise
- Some Comments on C P
- Combinatorial methods in density estimation
- Gaussian model selection
- Sharp oracle inequalities and slope heuristic for specification probabilities estimation in discrete random fields