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Multivariate Reduced-Rank Regression = Theory, Methods and Applications /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Multivariate Reduced-Rank Regression/ by Gregory C. Reinsel, Raja P. Velu, Kun Chen.
Reminder of title:
Theory, Methods and Applications /
Author:
Reinsel, Gregory C.
other author:
Chen, Kun.
Description:
XXI, 411 p. 33 illus., 13 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Statistical Theory and Methods. -
Online resource:
https://doi.org/10.1007/978-1-0716-2793-8
ISBN:
9781071627938
Multivariate Reduced-Rank Regression = Theory, Methods and Applications /
Reinsel, Gregory C.
Multivariate Reduced-Rank Regression
Theory, Methods and Applications /[electronic resource] :by Gregory C. Reinsel, Raja P. Velu, Kun Chen. - 2nd ed. 2022. - XXI, 411 p. 33 illus., 13 illus. in color.online resource. - Lecture Notes in Statistics,2252197-7186 ;. - Lecture Notes in Statistics,214.
1. Multivariate Linear Regression -- 2. Reduced-Rank Regression Model -- 3. Reduced-Rank Regression Models with Two Sets of Regressors -- 4. Reduced-Rank Regression Model with Autoregressive Errors -- 5. Multiple Time Series Modeling with Reduced Ranks -- 6. The Growth Curve Model and Reduced-Rank Regression Methods -- 7. Seemingly Unrelated Regression Models with Reduced Ranks -- 8. Applications of Reduced-Rank Regression in Financial Economics -- 9. High-Dimensional Reduced-Rank Regression -- 10. Generalized Reduced-Rank Regression with Complex Data -- 11. Sparse and Low-Rank Regression. 12. Alternate Procedures for Analysis of Multivariate Regression Models.
This book provides an account of multivariate reduced-rank regression, a tool of multivariate analysis that enjoys a broad array of applications. In addition to a historical review of the topic, its connection to other widely used statistical methods, such as multivariate analysis of variance (MANOVA), discriminant analysis, principal components, canonical correlation analysis, and errors-in-variables models, is also discussed. This new edition incorporates Big Data methodology and its applications, as well as high-dimensional reduced-rank regression, generalized reduced-rank regression with complex data, and sparse and low-rank regression methods. Each chapter contains developments of basic theoretical results, as well as details on computational procedures, illustrated with numerical examples drawn from disciplines such as biochemistry, genetics, marketing, and finance. This book is designed for advanced students, practitioners, and researchers, who may deal with moderate and high-dimensional multivariate data. Because regression is one of the most popular statistical methods, the multivariate regression analysis tools described should provide a natural way of looking at large (both cross-sectional and chronological) data sets. This book can be assigned in seminar-type courses taken by advanced graduate students in statistics, machine learning, econometrics, business, and engineering.
ISBN: 9781071627938
Standard No.: 10.1007/978-1-0716-2793-8doiSubjects--Topical Terms:
671396
Statistical Theory and Methods.
LC Class. No.: QA276-280
Dewey Class. No.: 519.5
Multivariate Reduced-Rank Regression = Theory, Methods and Applications /
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1. Multivariate Linear Regression -- 2. Reduced-Rank Regression Model -- 3. Reduced-Rank Regression Models with Two Sets of Regressors -- 4. Reduced-Rank Regression Model with Autoregressive Errors -- 5. Multiple Time Series Modeling with Reduced Ranks -- 6. The Growth Curve Model and Reduced-Rank Regression Methods -- 7. Seemingly Unrelated Regression Models with Reduced Ranks -- 8. Applications of Reduced-Rank Regression in Financial Economics -- 9. High-Dimensional Reduced-Rank Regression -- 10. Generalized Reduced-Rank Regression with Complex Data -- 11. Sparse and Low-Rank Regression. 12. Alternate Procedures for Analysis of Multivariate Regression Models.
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