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Publication:3930360
zbMath0475.60002MaRDI QIDQ3930360
Publication date: 1980
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
central limit theoremslaws of large numbersWishart densityfunctionals of random functionsperturbation of random determinants
Probability distributions: general theory (60E05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Random operators and equations (aspects of stochastic analysis) (60H25) Limit theorems in probability theory (60F99) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
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The inverse tangent law for the solutions of systems of linear algebraic equations with independent random coefficients is proven under Linderberg's condition. ⋮ Bounds for the Stieltjes transform of spectral functions of singular eigenvalues ⋮ \(G\)-analysis of high-dimensional observations ⋮ Random determinants ⋮ Certain properties of the estimates of the regression parameters under a priori constraint-inequalities ⋮ Khinchin's inequality for k-fold products of independent random variables ⋮ The stochastic Routh-Hurwitz problem. ⋮ A short survey of some recent applications of determinants ⋮ Limiting normalized spectral functions of a pencil of self-adjoint random matrices ⋮ Asymptotically normal estimates of solutions of systems of linear algebraic equations. II ⋮ Random Series with Time-Varying Discounting ⋮ Limit theorems for sums of distribution functions of eigenvalues of random symmetric matrices ⋮ Distribution of the eigenvalues of Gaussian random matrices ⋮ Asymptotically normal estimates of solutions of systems of linear algebraic equations. I ⋮ Distribution of eigenvalues and eigenvectors of orthogonal random matrices ⋮ Stochastic localization of roots of random polynomials
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