Block thresholding for density estimation: local and global adaptivity

DOI10.1016/j.jmva.2004.07.003zbMath1064.62036OpenAlexW2159059332MaRDI QIDQ558059

Jianyong Qiao, Sumit K. Garg

Publication date: 30 June 2005

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2004.07.003

zbMATH Keywords

Besov spaceHölder spaceAdaptive estimationBlock thresholding

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

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Cites Work

• Geometrizing rates of convergence. III
• Nonparametric curve estimation. Methods, theory, and applications
• Sharper bounds for Gaussian and empirical processes
• Adaptive estimates of linear functionals
• Asymptotic equivalence of nonparametric regression and white noise
• A constrained risk inequality with applications to nonparametric functional estimation
• Optimal spatial adaptation to inhomogeneous smoothness: An approach based on kernel estimates with variable bandwidth selectors
• Optimal pointwise adaptive methods in nonparametric estimation
• Adaptive wavelet estimation: A block thresholding and oracle inequality approach
• Block threshold rules for curve estimation using kernel and wavelet methods
• Minimax estimation via wavelet shrinkage
• \(L^ p\) adaptive density estimation
• On adaptive wavelet estimation of a derivative and other related linear inverse problems
• Adapting to Unknown Smoothness via Wavelet Shrinkage
• On Nonparametric Estimation of the Value of a Linear Functional in Gaussian White Noise
• Nonparametric Estimation of a Density of Unknown Smoothness
• Ten Lectures on Wavelets
• On a Problem of Adaptive Estimation in Gaussian White Noise
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