High-Dimensional Covariance Estimation / Wiley Series in Probability and Statistics (PDF)
With High-Dimensional Data
(Sprache: Englisch)
Methods for estimating sparse and large covariance matrices
Covariance and correlation matrices play fundamental roles in every aspect of the analysis of multivariate data collected from a variety of fields including business and economics, health care,...
Covariance and correlation matrices play fundamental roles in every aspect of the analysis of multivariate data collected from a variety of fields including business and economics, health care,...
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Methods for estimating sparse and large covariance matrices
Covariance and correlation matrices play fundamental roles in every aspect of the analysis of multivariate data collected from a variety of fields including business and economics, health care, engineering, and environmental and physical sciences. High-Dimensional Covariance Estimation provides accessible and comprehensive coverage of the classical and modern approaches for estimating covariance matrices as well as their applications to the rapidly developing areas lying at the intersection of statistics and machine learning.
Recently, the classical sample covariance methodologies have been modified and improved upon to meet the needs of statisticians and researchers dealing with large correlated datasets. High-Dimensional Covariance Estimation focuses on the methodologies based on shrinkage, thresholding, and penalized likelihood with applications to Gaussian graphical models, prediction, and mean-variance portfolio management. The book relies heavily on regression-based ideas and interpretations to connect and unify many existing methods and algorithms for the task.
High-Dimensional Covariance Estimation features chapters on:
* Data, Sparsity, and Regularization
* Regularizing the Eigenstructure
* Banding, Tapering, and Thresholding
* Covariance Matrices
* Sparse Gaussian Graphical Models
* Multivariate Regression
The book is an ideal resource for researchers in statistics, mathematics, business and economics, computer sciences, and engineering, as well as a useful text or supplement for graduate-level courses in multivariate analysis, covariance estimation, statistical learning, and high-dimensional data analysis.
Covariance and correlation matrices play fundamental roles in every aspect of the analysis of multivariate data collected from a variety of fields including business and economics, health care, engineering, and environmental and physical sciences. High-Dimensional Covariance Estimation provides accessible and comprehensive coverage of the classical and modern approaches for estimating covariance matrices as well as their applications to the rapidly developing areas lying at the intersection of statistics and machine learning.
Recently, the classical sample covariance methodologies have been modified and improved upon to meet the needs of statisticians and researchers dealing with large correlated datasets. High-Dimensional Covariance Estimation focuses on the methodologies based on shrinkage, thresholding, and penalized likelihood with applications to Gaussian graphical models, prediction, and mean-variance portfolio management. The book relies heavily on regression-based ideas and interpretations to connect and unify many existing methods and algorithms for the task.
High-Dimensional Covariance Estimation features chapters on:
* Data, Sparsity, and Regularization
* Regularizing the Eigenstructure
* Banding, Tapering, and Thresholding
* Covariance Matrices
* Sparse Gaussian Graphical Models
* Multivariate Regression
The book is an ideal resource for researchers in statistics, mathematics, business and economics, computer sciences, and engineering, as well as a useful text or supplement for graduate-level courses in multivariate analysis, covariance estimation, statistical learning, and high-dimensional data analysis.
Autoren-Porträt von Mohsen Pourahmadi
MOHSEN POURAHMADI, PhD, is Professor of Statistics atTexas A&M University. He is an elected member of the
International Statistical Institute, a Fellow of the American
Statistical Association, and a member of the American Mathematical
Society. Dr. Pourahmadi is the author of Foundations of Time
Series Analysis and Prediction Theory, also published by
Wiley.
Bibliographische Angaben
- Autor: Mohsen Pourahmadi
- 2013, 1. Auflage, 208 Seiten, Englisch
- Verlag: John Wiley & Sons
- ISBN-10: 111857365X
- ISBN-13: 9781118573655
- Erscheinungsdatum: 23.05.2013
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Größe: 5.99 MB
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Englisch
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