Estimation and detection of high-variable functions from Sloan-Woźniakowski space
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Publication:926978
DOI10.3103/S1066530707040035zbMath1229.62074MaRDI QIDQ926978
Irina A. Suslina, Yuri I. Ingster
Publication date: 21 May 2008
Published in: Mathematical Methods of Statistics (Search for Journal in Brave)
separation ratesdetection of multi-variable functionsestimation of multi-variable functionsminimax estimation and hypothesis testingweighted tensor-product Sobolev spaces
Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)
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Cites Work
- Additive regression and other nonparametric models
- Optimal filtering of square-integrable signals in Gaussian noise
- Minimax nonparametric detection of signals in white Gaussian noise
- When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?
- Nonparametric curve estimation. Methods, theory, and applications
- Asymptotically minimax hypothesis testing for nonparametric alternatives. I
- Asymptotic equivalence of nonparametric regression and white noise
- Asymptotic equivalence of density estimation and Gaussian white noise
- Nonparametric estimation over shrinking neighborhoods: superefficiency and adaptation
- Minimax estimation via wavelet shrinkage
- Tensor product space ANOVA models.
- On minimax filtering over ellipsoids
- Minimax Detection of a Signal In a Gaussian White Noise
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