TY - GEN N2 - This book presents covariance matrix estimation and related aspects of random matrix theory. It focuses on the sample covariance matrix estimator and provides a holistic description of its properties under two asymptotic regimes: the traditional one, and the high-dimensional regime that better fits the big data context. It draws attention to the deficiencies of standard statistical tools when used in the high-dimensional setting, and introduces the basic concepts and major results related to spectral statistics and random matrix theory under high-dimensional asymptotics in an understandable and reader-friendly way. The aim of this book is to inspire applied statisticians, econometricians, and machine learning practitioners who analyze high-dimensional data to apply the recent developments in their work. DO - 10.1007/978-3-030-80065-9 DO - doi AB - This book presents covariance matrix estimation and related aspects of random matrix theory. It focuses on the sample covariance matrix estimator and provides a holistic description of its properties under two asymptotic regimes: the traditional one, and the high-dimensional regime that better fits the big data context. It draws attention to the deficiencies of standard statistical tools when used in the high-dimensional setting, and introduces the basic concepts and major results related to spectral statistics and random matrix theory under high-dimensional asymptotics in an understandable and reader-friendly way. The aim of this book is to inspire applied statisticians, econometricians, and machine learning practitioners who analyze high-dimensional data to apply the recent developments in their work. T1 - High-dimensional covariance matrix estimation :an introduction to random matrix theory / AU - Zagidullina, Aygul, CN - QA276.8 ID - 1440693 KW - Random matrices. KW - Asymptotic efficiencies (Statistics) KW - Multivariate analysis. KW - Matrices aléatoires. KW - Efficacité asymptotique (Statistique) KW - Analyse multivariée. SN - 9783030800659 SN - 3030800652 TI - High-dimensional covariance matrix estimation :an introduction to random matrix theory / LK - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-80065-9 UR - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-80065-9 ER -