An Introduction to Statistical Analysis of Random Arrays / / V. L. Girko.
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Superior document: | Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©1998 |
Year of Publication: | 2018 |
Edition: | Reprint 2018 |
Language: | English |
Online Access: | |
Physical Description: | 1 online resource (673 p.) |
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Table of Contents:
- Frontmatter
- CONTENTS
- List of basic notations and assumptions
- Preface and some historical remarks
- Chapter 1. Introduction to the theory of sample matrices of fixed dimension
- Chapter 2. Canonical equations
- Chapter 3. The First Law for the eigenvalues and eigenvectors of random symmetric matrices
- Chapter 4. The Second Law for the singular values and eigenvectors of random matrices. Inequalities for the spectral radius of large random matrices
- Chapter 5. The Third Law for the eigenvalues and eigenvectors of empirical covariance matrices
- Chapter 6. The first proof of the Strong Circular Law
- Chapter 7. Strong Law for normalized spectral functions of nonselfadjoint random matrices with independent row vectors and simple rigorous proof of the Strong Circular Law
- Chapter 8. Rigorous proof of the Strong Elliptic Law
- Chapter 9. The Circular and Uniform Laws for eigenvalues of random nonsymmetric complex matrices with independent entries
- Chapter 10. Strong V-Law for eigenvalues of nonsymmetric random matrices
- Chapter 11. Convergence rate of the expected spectral functions of symmetric random matrices is equal to 0(n-1/2)
- Chapter 12. Convergence rate of expected spectral functions of the sample covariance matrix Ȓm„(n) is equal to 0(n-1/2) under the condition m„n-1≤c<1
- Chapter 13. The First Spacing Law for random symmetric matrices
- Chapter 14. Ten years of General Statistical Analysis (The main G-estimators of General Statistical Analysis)
- References
- Index