Neuware -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 m'(n) is equal to 0(n-1/2) under the condition m'n-1 cWalter de Gruyter GmbH, Genthiner Strasse 13, 10785 Berlin 700 pp. Englisch.

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Bibliographic Details

Title: An Introduction to Statistical Analysis of Random Arrays
Publisher: De Gruyter, De Gruyter Dez 1998
Publication Date: 1998
Language: English
ISBN 10: 3110354772
ISBN 13: 9783110354775
Binding: Buch
Condition: Neu
Dimensions: 246 millimeters width by 175 millimeters height by 43 millimeters depth
Weight: 1347 grams

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Text: English (translation)
Original Language: Russian

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