Signal detection for inverse problems in a multidimensional framework

DOI10.3103/S1066530714040036zbMath1308.62091arXiv1402.4773OpenAlexW1988015934MaRDI QIDQ2261927

Yanyan Li

Publication date: 13 March 2015

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

Full work available at URL: https://arxiv.org/abs/1402.4773

zbMATH Keywords

inverse problemssignal detectionseparation rate

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Minimax procedures in statistical decision theory (62C20)

Related Items (6)

Adaptivity and Oracle Inequalities in Linear Statistical Inverse Problems: A (Numerical) Survey ⋮ Empirical risk minimization as parameter choice rule for general linear regularization methods ⋮ Asymptotic performance of projection estimators in standard and hyperbolic wavelet bases ⋮ Optimal regularized hypothesis testing in statistical inverse problems ⋮ Minimax optimal procedures for testing the structure of multidimensional functions ⋮ Multiscale scanning in inverse problems

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