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

1. Auflage 2021
ISBN: 978-3-030-80963-8
Verlag: Springer International Publishing

Buch, Englisch, 140 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 248 g

Reihe: SpringerBriefs in Probability and Mathematical Statistics

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. 

Zielgruppe

Graduate

Autoren/Hrsg.

Stoev, Stilian

Gao, Zheng

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse

Inhaltsverzeichnis

Über Autor(innen)

Zheng Gao graduated with a PhD in Statistics from the University of Michigan in 2020. His research focuses on large-scale multiple testing problems and real-time anomaly detection on high-dimensional data streams.
Stilian Stoev is a Full Professor of Statistics at the University of Michigan, Ann Arbor. His research involves topics in applied probability, statistics and their applications to insurance and computer networks. Most recently, he has been working on extreme value theory.