Minimax testing of a composite null hypothesis defined via a quadratic functional in the model of regression
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Publication:1951106
DOI10.1214/13-EJS766zbMath1337.62090arXiv1208.1823MaRDI QIDQ1951106
Arnak S. Dalalyan, Laetitia Comminges
Publication date: 29 May 2013
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.1823
minimax approachseparation rateshigh-dimensional regressionsharp asymptoticsnonparametric hypotheses testing
Nonparametric regression and quantile regression (62G08) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Minimax procedures in statistical decision theory (62C20)
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Cites Work
- Unnamed Item
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- Nonparametric signal detection with small type I and type II error probabilities
- Testing inverse problems: a direct or an indirect problem?
- Minimax signal detection in ill-posed inverse problems
- Tight conditions for consistency of variable selection in the context of high dimensionality
- Minimax quadratic estimation of a quadratic functional
- Central limit theorem for integrated square error of multivariate nonparametric density estimators
- On the estimation of quadratic functionals
- Adaptive goodness-of-fit testing from indirect observations
- Optimal filtering of square-integrable signals in Gaussian noise
- On estimation of the \(L_r\) norm of a regression function
- Asymptotically minimax hypothesis testing for nonparametric alternatives. I
- Asymptotically minimax hypothesis testing for nonparametric alternatives. II
- Asymptotically minimax hypothesis testing for nonparametric alternatives. III
- On an embedding of Sobolev spaces
- Adaptive hypothesis testing using wavelets
- Adaptive tests of linear hypotheses by model selection
- On the limit in the equivalence between heteroscedastic regression and filtering model.
- Testing convex hypotheses on the mean of a Gaussian vector. Application to testing qualitative hypotheses on a regression function
- Nonparametric goodness-of-fit testing under Gaussian models
- Minimax testing composite null hypotheses in the discrete regression scheme
- Non asymptotic minimax rates of testing in signal detection with heterogeneous variances
- Minimax hypothesis testing for curve registration
- Estimation and detection of functions from anisotropic Sobolev classes
- Optimal rates and adaptation in the single-index model using aggregation
- Minimax goodness-of-fit testing in multivariate nonparametric regression
- Goodness-of-fit testing and quadratic functional estimation from indirect observations
- Adaptive minimax testing in the discrete regression scheme
- An Adaptive, Rate-Optimal Test of a Parametric Mean-Regression Model Against a Nonparametric Alternative
- Component Identification and Estimation in Nonlinear High-Dimensional Regression Models by Structural Adaptation
- Introduction to nonparametric estimation
- An asymptotically optimal test for a parametric set of regression functions against a non-parametric alternative
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