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Nome campo	dettagli
Dewey Class	519.2
Titolo	Theory of Random Determinants ([EBook]) / by V. L. Girko.
Autore	Girko, Vjačeslav L.
Other name(s)	SpringerLink (Online service)
Pubblicazione	Dordrecht : Springer Netherlands , 1990.
Physical Details	XXVI, 678 pages : online resource.
Serie	Mathematics and its applications. Soviet series 0169-6378 ; ; 45
ISBN	9789400918580
Contents note	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 Determinants in the Experiment Design -- 27. Random Determinants in Physics -- 28. Random Determinants in Numerical Analysis -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-009-1858-0
Link alle Opere Legate	Riferimenti soggetto: . Analysis (Mathematics) . Dynamical Systems . Mathematical analysis . Probabilities . Probability theory and stochastic processes . Statistical Physics . Statistical Physics, Dynamical Systems and Complexity . System theory . Systems Theory, Control . Authors: Girko, Vjačeslav L. . Girko, Vjačeslav L. . Vedi Anche: . Girko, V. L. (Vi︠a︡cheslav Leonidovich) . Girko, Vyacheslav L. . Girko, V. L. (Vi︠a︡cheslav Leonidovich) . Girko, Vyacheslav L. . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications. Soviet series . Classification: 519.2 .

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Theory of Random Determinants

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