Pointwise adaptive estimation of a multivariate function

DOI10.3103/S1066530714020045zbMath1308.62063OpenAlexW2120088908MaRDI QIDQ2261918

Nicolas Klutchnikoff

Publication date: 13 March 2015

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066530714020045

zbMATH Keywords

kernel estimatorspointwise risk

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) White noise theory (60H40)

Related Items (8)

Pointwise adaptive estimation of the marginal density of a weakly dependent process ⋮ Adaptive estimation of the stationary density of a stochastic differential equation driven by a fractional Brownian motion ⋮ Theory of adaptive estimation ⋮ Point-wise wavelet estimation in the convolution structure density model ⋮ Anisotropic function estimation using multi-bandwidth Gaussian processes ⋮ Universal pointwise selection rule in multivariate function estimation ⋮ Bandwidth selection in kernel empirical risk minimization via the gradient ⋮ Structural adaptation in the density model

Cites Work

• Unnamed Item
• Unnamed Item
• Minimax and minimax adaptive estimation in multiplicative regression: locally Bayesian approach
• Universal pointwise selection rule in multivariate function estimation
• An asymptotically optimal window selection rule for kernel density estimates
• Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes
• On spatially adaptive estimation of nonparametric regression
• Optimal pointwise adaptive methods in nonparametric estimation
• Sharp adaptive estimation of linear functionals.
• On the Choice of Smoothing Parameters for Parzen Estimators of Probability Density Functions
• Nonlinear estimation in anisotropic multi-index denoising

This page was built for publication: Pointwise adaptive estimation of a multivariate function