A matrix handbook for statisticians

This book emphasizes computational statistics and algorithms and includes numerous references to both the theory behind the methods and the applications of the methods. Each chapter consists of four parts: a definition followed by a list of results, a sho.

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Bibliographic Details
Main Authors: Seber, G. A. F. George Arthur Frederick, 1938
Published:
Literature type: Electronic eBook
Language: English
Series: Wiley series in probability and statistics
Subjects:
Online Access: http://onlinelibrary.wiley.com/book/10.1002/9780470226797
Summary: This book emphasizes computational statistics and algorithms and includes numerous references to both the theory behind the methods and the applications of the methods. Each chapter consists of four parts: a definition followed by a list of results, a sho.
Carrier Form: 1 online resource (xix, 559 pages).
Bibliography: Includes bibliographical references (pages 529-545) and index.
ISBN: 9780470226780
0470226781
9780470226797
047022679X
1281221791
9781281221797
Index Number: QA188
CLC: O151.21
Contents: A MATRIX HANDBOOK FOR STATISTICIANS; CONTENTS; Preface; 1 Notation; 2 Vectors, Vector Spaces, and Convexity; 3 Rank; 4 Matrix Functions: Inverse, Transpose, Trace, Determinant, and Norm; 5 Complex, Hermitian, and Related Matrices; 6 Eigenvalues, Eigenvectors, and Singular Values; 7 Generalized Inverses; 8 Some Special Matrices; 9 Non-Negative Vectors and Matrices; 10 Positive Definite and Non-negative Definite Matrices; 11 Special Products and Operators; 12 Inequalities; 13 Linear Equations; 14 Partitioned Matrices; 15 Patterned Matrices; 16 Factorization of Matrices; 17 Differentiation.
18 Jacobians19 Matrix Limits, Sequences, and Series; 20 Random Vectors; 21 Random Matrices; 22 Inequalities for Probabilities and Random Variables; 23 Majorization; 24 Optimization and Matrix Approximation; References; Index.