A unified treatment for non-asymptotic and asymptotic approaches to minimax signal detection

DOI10.1214/15-SS112zbMath1329.62169arXiv1406.5387OpenAlexW2286033046MaRDI QIDQ906274

Theofanis Sapatinas, Clément Marteau

Publication date: 21 January 2016

Published in: Statistics Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5387

zbMATH Keywords

Gaussian sequence modelsill-posed and well-posed inverse problemsminimax signal detection

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Response surface designs (62K20)

Related Items (6)

Sharp minimax tests for large Toeplitz covariance matrices with repeated observations ⋮ On statistical properties of the estimator of impulse response function ⋮ Minimax goodness-of-fit testing in ill-posed inverse problems with partially unknown operators ⋮ Minimax signal detection under weak noise assumptions ⋮ Adaptive minimax testing for circular convolution ⋮ Rate optimal estimation of quadratic functionals in inverse problems with partially unknown operator and application to testing problems

Cites Work

• Unnamed Item
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• Goodness-of-fit test for noisy directional data
• Testing inverse problems: a direct or an indirect problem?
• Minimax signal detection in ill-posed inverse problems
• Adaptive goodness-of-fit testing from indirect observations
• Asymptotically minimax hypothesis testing for nonparametric alternatives. I
• Asymptotically minimax hypothesis testing for nonparametric alternatives. II
• Asymptotically minimax hypothesis testing for nonparametric alternatives. III
• Adaptive hypothesis testing using wavelets
• Nonparametric goodness-of-fit testing under Gaussian models
• Non-asymptotic minimax rates of testing in signal detection
• Non asymptotic minimax rates of testing in signal detection with heterogeneous variances
• General regularization schemes for signal detection in inverse problems
• Minimax goodness-of-fit testing in multivariate nonparametric regression
• Goodness-of-fit testing and quadratic functional estimation from indirect observations
• Adaptive goodness-of-fit tests in a density model
• Asymptotic Statistics
• Minimax Detection of a Signal In a Gaussian White Noise
• OPTIMAL MINIMAX RATES FOR NONPARAMETRIC SPECIFICATION TESTING IN REGRESSION MODELS
• Convergence Rates of General Regularization Methods for Statistical Inverse Problems and Applications

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