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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Main Authors: | |
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Group Author: | |
Published: |
CRC Press, Taylor & Francis Group,
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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. |