Titlebook: Concentration of Maxima and Fundamental Limits in High-Dimensional Testing and Inference; Zheng Gao,Stilian Stoev Book 2021 The Author(s),

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Uniform Relative Stability for Gaussian Arrays,c results of Simeon Berman are recovered and extended. The proofs utilize tools such as Slepian’s lemma, the Sudakov–Fernique inequality, as well as, a curious result on the structure of correlation matrices derived using elementary Ramsey’s theory.

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2365-4333 imation for sparse signals observed with noise.Gives an appl.This book provides a unified exposition of some fundamental theoretical problems in high-dimensional statistics. It specifically?considers the canonical problems of detection and support estimation for sparse signals observed with noise. N

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2365-4333 ction to a concentration of maxima probabilistic phenomenon, the authors obtain a complete characterization of the exact support recovery problem for thresholding estimators under dependent errors.?.978-3-030-80963-8978-3-030-80964-5Series ISSN 2365-4333 Series E-ISSN 2365-4341

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SpringerBriefs in Probability and Mathematical Statisticshttp://image.papertrans.cn/c/image/234858.jpg

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J. A. Ball,I. Gohberg,M. A. Kaashoeksignal support estimation problems. This is done in the context of two general models—the signal-plus-noise model and the chi-square model arising in genome-wide association studies. Motivating applications of these two problems and two models are briefly discussed. The chapter concludes with a summ