Multidimensional Statistical Analysis and Theory of Random Matrices
De Gruyter (Verlag)
978-3-11-046036-0 (ISBN)
Frontmatter -- PREFACE -- Welcoming remarks -- Principal Procedures for Statistical Analysis of Random Arrays (SARA) -- CONTENTS -- Some remarks and a bibliography on the Kantorovich inequality -- Band random matrices and quantum chaos -- Weighted continuous metric scaling -- Canonical equation for the resolvent of empirical covariance matrices pencil -- Strong Law for the eigenvalues of empirical covariance matrices -- On the asymptotic behavior of Markov chains with small random perturbations of transition probabilities -- Multivariate statistical inference involving circulant matrices: A review -- Asymptotics of eigenvalue-normed eigenvectors of sample variance and correlation matrices -- Formal density expansions via multivariate mixtures -- Double shrinkage estimators of ratio of variances -- On sequential search for significant variables of unknown function -- Heirarchical random matrices and operators. Application to Anderson model -- Asymptotic properties of invariant tests -- New classes of probability inequalities for some classical distributions -- Equivariant estimation of a subspace -- Optimal design of experiments for multivariate response in two-factor linear models -- Multivariate analysis: Does it really work in statistical applications? -- Robust estimation and testing the mean vector -- Detection of outliers in the presence of multicollinearity -- Estimation in multivariate elliptically contoured linear models II -- Mean and covariance structure analysis with missing data -- Multivariate elliptically contoured linear models and some aspects of the theory of random matrices
Frontmatter -- PREFACE -- Welcoming remarks -- Principal Procedures for Statistical Analysis of Random Arrays (SARA) -- CONTENTS -- Some remarks and a bibliography on the Kantorovich inequality -- Band random matrices and quantum chaos -- Weighted continuous metric scaling -- Canonical equation for the resolvent of empirical covariance matrices pencil -- Strong Law for the eigenvalues of empirical covariance matrices -- On the asymptotic behavior of Markov chains with small random perturbations of transition probabilities -- Multivariate statistical inference involving circulant matrices: A review -- Asymptotics of eigenvalue-normed eigenvectors of sample variance and correlation matrices -- Formal density expansions via multivariate mixtures -- Double shrinkage estimators of ratio of variances -- On sequential search for significant variables of unknown function -- Heirarchical random matrices and operators. Application to Anderson model -- Asymptotic properties of invariant tests -- New classes of probability inequalities for some classical distributions -- Equivariant estimation of a subspace -- Optimal design of experiments for multivariate response in two-factor linear models -- Multivariate analysis: Does it really work in statistical applications? -- Robust estimation and testing the mean vector -- Detection of outliers in the presence of multicollinearity -- Estimation in multivariate elliptically contoured linear models II -- Mean and covariance structure analysis with missing data -- Multivariate elliptically contoured linear models and some aspects of the theory of random matrices
Erscheinungsdatum | 05.07.2018 |
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Verlagsort | Berlin/Boston |
Sprache | englisch |
Maße | 170 x 240 mm |
Gewicht | 745 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
Mathematik / Informatik ► Mathematik ► Statistik | |
Schlagworte | Matrix • Statistik • Zufallsgröße |
ISBN-10 | 3-11-046036-X / 311046036X |
ISBN-13 | 978-3-11-046036-0 / 9783110460360 |
Zustand | Neuware |
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