Minimax optimal procedures for testing the structure of multidimensional functions
DOI10.1016/j.acha.2017.05.003zbMath1409.62027OpenAlexW2610897203MaRDI QIDQ1713637
Christophe Pouet, Jean-Marc Freyermuth, Florent Autin, Gerda Claeskens, John A. D. Aston
Publication date: 25 January 2019
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.acha.2017.05.003
hypothesis testinganisotropyBesov spacesadaptationminimax ratehyperbolic waveletsstructural modelingatomic dimensionGaussian noise modelSobol decomposition
Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Minimax procedures in statistical decision theory (62C20)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spaces of functions of mixed smoothness and approximation from hyperbolic crosses
- Optimal testing for additivity in multiple nonparametric regression
- Concentration inequalities and model selection. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003.
- Asymptotic performance of projection estimators in standard and hyperbolic wavelet bases
- Detection of a sparse variable function
- Asymptotic equivalence for nonparametric regression with multivariate and random design
- Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross
- Minimum contrast estimators on sieves: Exponential bounds and rates of convergence
- Asymptotically minimax hypothesis testing for nonparametric alternatives. I
- Asymptotically minimax hypothesis testing for nonparametric alternatives. II
- Asymptotically minimax hypothesis testing for nonparametric alternatives. III
- Wavelet thresholding in anisotropic function classes and application to adaptive estimation of evolutionary spectra
- Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point
- Tensor product space ANOVA models.
- Adaptive estimation of a quadratic functional by model selection.
- Nonparametric goodness-of-fit testing under Gaussian models
- Adaptive and spatially adaptive testing of a nonparametric hypothesis.
- Detection of sparse additive functions
- Minimax testing of a composite null hypothesis defined via a quadratic functional in the model of regression
- Estimation and detection of functions from anisotropic Sobolev classes
- Hyperbolic wavelet thresholding methods and the curse of dimensionality through the maxiset approach
- Signal detection for inverse problems in a multidimensional framework
- Estimation and detection of functions from weighted tensor product spaces
- Statistical inference in compound functional models
- Detection of a signal of known shape in a multichannel system
- A Wavelet-Based Test for Stationarity
- Automatic Smoothing of the Log Periodogram
- Choice of thresholds for wavelet shrinkage estimate of the spectrum
- Tensor Regression with Applications in Neuroimaging Data Analysis
- Thresholding algorithms, maxisets and well-concentrated bases
