Minimax revisited. II

DOI10.3103/S1066530710040010zbMath1282.62021OpenAlexW4254908450MaRDI QIDQ2437987

B. Ya. Levit

Publication date: 10 March 2014

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

Full work available at URL: https://doi.org/10.3103/s1066530710040010

zbMATH Keywords

linear functionalsSobolev classeswhite Gaussian noisecuboidal classesellipsoidal classesPaley-Wiener classes

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Numerical smoothing, curve fitting (65D10) Minimax procedures in statistical decision theory (62C20) Variational inequalities (49J40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• Unnamed Item
• Unnamed Item
• Minimax risk over hyperrectangles, and implications
• One-sided inference about functionals of a density
• Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes
• Statistical estimation and optimal recovery
• On minimax estimation of a sparse normal mean vector
• Asymptotically efficient estimation for analytic distributions
• Minimax revisited. I
• On Nonparametric Estimation of the Value of a Linear Functional in Gaussian White Noise
• Bounds for the Risks of Non-Parametric Regression Estimates