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Concentration of Maxima and Fundamental Limits in High-Dimensional Testing and Inference

Concentration of Maxima and Fundamental Limits in High-Dimensional Testing and Inference

von Stilian Stoev und Zheng Gao
Softcover - 9783030809638
69,54 €
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Beschreibung

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. Novel phase-transition results are obtained for the signal support estimation problem under a variety of statistical risks. Based on a surprising connection 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. 

Details

Verlag Springer International Publishing
Ersterscheinung 08. September 2021
Maße 23.5 cm x 15.5 cm
Gewicht 248 Gramm
Format Softcover
ISBN-13 9783030809638
Auflage 1st ed. 2021
Seiten 140

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