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Estimation and detection of functions from weighted tensor product spaces

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Publication:2439207
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DOI10.3103/S1066530709040024zbMath1282.62119MaRDI QIDQ2439207

Natalia Stepanova, Yuri I. Ingster

Publication date: 10 March 2014

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


zbMATH Keywords

nonparametric estimationmultivariate functionswhite noise modelnonparametric goodness-of-fit testingweighted tensor product space


Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20)


Related Items

To the memory of Yu. I. Ingster, Estimation and detection of functions from anisotropic Sobolev classes, Minimax optimal procedures for testing the structure of multidimensional functions



Cites Work

  • Efficient estimation of multivariate analytic functions in cube-like domains
  • Estimation and detection of high-variable functions from Sloan-Woźniakowski space
  • Additive regression and other nonparametric models
  • When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?
  • Tensor product space ANOVA models.
  • Nonparametric goodness-of-fit testing under Gaussian models
  • On minimax filtering over ellipsoids
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