THE MAXISET POINT OF VIEW FOR ESTIMATING INTEGRATED QUADRATIC FUNCTIONALS

Keywords

Quadratic equation, Point (geometry), Mathematics, Applied mathematics, Geometry

References

• Minimax or maxisetsGérard Kerkyacharian, Dominique Picard — 2002
• Maxisets for linear proceduresVincent Rivoirard — 2004
• Thresholding algorithms, maxisets and well-concentrated basesGérard Kerkyacharian, Dominique Picard, Lucien Birgé — 2000
• Nonquadratic estimators of a quadratic functionalTommaso Cai, Mark G. Low — 2005
• Restricted Nonlinear ApproximationAlbert Cohen, Ronald DeVore, Reinhard Hochmuth — 2000
• Unconditional Bases Are Optimal Bases for Data Compression and for Statistical EstimationDavid L. Donoho — 1993
• Ten Lectures on WaveletsIngrid Daubechies, Christopher Heil — 1992
• Maximal Spaces with Given Rate of Convergence for Thresholding AlgorithmsAlbert Cohen, Ronald DeVore, Gérard Kerkyacharian — 2001
• Maxiset comparisons of procedures, application to choosing priors in a Bayesian nonparametric settingFlorent Autin, Dominique Picard, Vincent Rivoirard — 2004
• Constructive ApproximationRonald DeVore, George G. Lorentz — 1993
• Ondelettes et operateurs IYves Meyer — 1990
• Minimax Bayes, Asymptotic Minimax and Sparse Wavelet PriorsI. Johnstone — 1994

Cited by

• Maxiset in sup-norm for kernel estimatorsKarine Bertin, Vincent Rivoirard — 2007
• Nonparametric confidence intervals for the integral of a function of an unknown densityChristopher S. Withers, Saralees Nadarajah — 2011
• On adaptive wavelet estimation of a quadratic functional from a deconvolution problemChristophe Chesneau — 2011
• Maxisets for Model SelectionFlorent Autin, Erwan Le Pennec, Jean–Michel Loubes — 2008
• Some (statistical) applications of Ockham's principleErwan Le Pennec, A. Juditsky — 2013
• Maxiset Point of View for Signal Detection in Inverse ProblemsFlorent Autin, Marianne Clausel, Jean‐Marc Freyermuth — 2018
• Rate optimal estimation of quadratic functionals in inverse problems with partially unknown operator and application to testing problemsMartin Kröll — 2018
• Contributions à l’estimation non-paramétrique. Du rôle de la parcimonie en statistiqueà la calibration théorique et pratique d’estimateursVincent Rivoirard — 2009

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