AuthorGirko, V. L. author
TitleTheory of Random Determinants [electronic resource] / by V. L. Girko
ImprintDordrecht : Springer Netherlands, 1990
Connect tohttp://dx.doi.org/10.1007/978-94-009-1858-0
Descript XXVI, 678 p. online resource

CONTENT

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


SUBJECT

  1. Mathematics
  2. Mathematical analysis
  3. Analysis (Mathematics)
  4. System theory
  5. Probabilities
  6. Statistical physics
  7. Dynamical systems
  8. Mathematics
  9. Probability Theory and Stochastic Processes
  10. Analysis
  11. Statistical Physics
  12. Dynamical Systems and Complexity
  13. Systems Theory
  14. Control