@article{1439573, recid = {1439573}, author = {Gao, Zheng. and Stoev, Stilian.}, title = {Concentration of maxima and fundamental limits in high-dimensional testing and inference /}, publisher = {Springer,}, address = {Cham :}, pages = {1 online resource (147 pages)}, year = {2021}, note = {A.1 Auxiliary Facts of Chi-Square Distributions.}, abstract = {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.}, url = {http://library.usi.edu/record/1439573}, doi = {https://doi.org/10.1007/978-3-030-80964-5}, }