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140122 ||| eng |
| 020 |
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|a 9789400918580
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| 100 |
1 |
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|a Girko, V.L.
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| 245 |
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|a Theory of Random Determinants
|h Elektronische Ressource
|c by V.L. Girko
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| 250 |
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|a 1st ed. 1990
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| 260 |
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|a Dordrecht
|b Springer Netherlands
|c 1990, 1990
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| 300 |
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|a XXVI, 678 p
|b online resource
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| 505 |
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|a 1. Generalized Wishart Density and Integral Representation for Determinants -- 2. Moments of Random Matrix Determinants -- 3. Distribution of Eigenvalues and Eigenvectors of Random Matrices -- 4. Inequalities for Random Determinants -- 5. Limit Theorems for the Borel Functions of Independent Random Variables -- 6. Limit Theorems of the Law of Large Numbers and Central Limit Theorem Types for Random Determinants -- 7. Accompanying Infinitely Divisible Laws for Random Determinants -- 8. Integral Representation Method -- 9. The Connection between the Convergence of Random Determinants and the Convergence of Functionals of Random Functions -- 10. Limit Theorems for Random Gram Determinants -- 11. The Determinants of Toeplitz and Hankel Random Matrices -- 12. Limit Theorems for Determinants of Random Jacobi Matrices -- 13. The Fredholm Random Determinants -- 14. The Systems of Linear Algebraic Equations with Random Coefficients -- 15. Limit Theorems for the Solution of the Systems of Linear Algebraic Equations with Random Coefficients -- 16. Integral Equations with Random Degenerate Kernels -- 17. Random Determinants in the Spectral Theory of Non-Self-Adjoint Random Matrices -- 18. The Distribution of Eigenvalues and Eigenvectors of Additive Random Matrix-Valued Processes -- 19. The Stochastic Ljapunov Problem for Systems of Stationary Linear Differential Equations -- 20. Random Determinants in the Theory of Estimation of Parameters of Some Systems -- 21. Random Determinants in Some Problems of Control Theory of Stochastic Systems -- 22. Random Determinants in Some Linear Stochastic Programming Problems -- 23. Random Determinants in General Statistical Analysis -- 24. Estimate of the Solution of the Kolmogorov-Wiener Filter -- 25. Random Determinants in Pattern Recognition -- 26. Random Determinantsin the Experiment Design -- 27. Random Determinants in Physics -- 28. Random Determinants in Numerical Analysis -- References
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| 653 |
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|a Complex Systems
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| 653 |
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|a Mathematical analysis
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| 653 |
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|a Control theory
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| 653 |
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|a Systems Theory, Control
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| 653 |
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|a Probability Theory
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| 653 |
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|a Analysis
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| 653 |
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|a System theory
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Theoretical, Mathematical and Computational Physics
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| 653 |
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|a Probabilities
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Mathematics and its Applications, Soviet Series
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| 028 |
5 |
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|a 10.1007/978-94-009-1858-0
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| 856 |
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|u https://doi.org/10.1007/978-94-009-1858-0?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 519.2
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