Large covariance and autocovariance matrices /

Large Covariance and Autocovariance Matrices brings together a collection of recent results on sample covariance and autocovariance matrices in high-dimensional models and novel ideas on how to use them for statistical inference in one or more high-dimensional time series models. The prerequisites i...

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Bibliographic Details
Main Authors: Bose, Arup
Group Author: Bhattacharjee, Monika
Published: CRC Press, Taylor & Francis Group,
Publisher Address: Boca Raton, FL :
Publication Dates: [2019]
Literature type: Book
Language: English
Series: Monographs on statistics and applied probability ; 162
Subjects:
Summary: Large Covariance and Autocovariance Matrices brings together a collection of recent results on sample covariance and autocovariance matrices in high-dimensional models and novel ideas on how to use them for statistical inference in one or more high-dimensional time series models. The prerequisites include knowledge of elementary multivariate analysis, basic time series analysis and basic results in stochastic convergence. Part I is on different methods of estimation of large covariance matrices and auto-covariance matrices and properties of these estimators. Part II covers the relevant mater
Carrier Form: xxiii, 272 pages : illustrations ; 25 cm.
Bibliography: Includes bibliographical references (pages 265-268) and index.
ISBN: 9781138303867
1138303860
Index Number: QA188
CLC: O212.4
Call Number: O212.4/B743
Contents: Large covariance matrix I -- Large autocovariance matrix -- Spectral distribution -- Non-commutative probability -- Generalized covariance matrix I -- Generalized covariance matrix II -- Spectra of autocovariance matrix I -- Spectra of autocovariance matrix II -- Graphical inference -- Testing with trace.