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Preface | ||
Introduction | 1 | |
Ch. 1 | Spectral Properties of Large Wishart Matrices | 25 |
Ch. 2 | Resolvents and Spectral Functions of Large Sample Covariance Matrices | 40 |
Ch. 3 | Resolvents and Spectral Functions of Large Pooled Sample Covariance Matrices | 61 |
Ch. 4 | Normal Evaluation of Quality Functions | 76 |
Ch. 5 | Estimation of High-Dimensional Inverse Covariance Matrices | 87 |
Ch. 6 | Epsilon-Dominating Component-Wise Shrinkage Estimators of Normal Mean | 102 |
Ch. 7 | Improved Estimators of High-Dimensional Expectation Vectors | 112 |
Ch. 8 | Quadratic Risk of Linear Regression with a Large Number of Random Predictors | 131 |
Ch. 9 | Linear Discriminant Analysis of Normal Populations with Coinciding Covariance Matrices | 156 |
Ch. 10 | Population Free Quality of Discrimination | 169 |
Ch. 11 | Theory of Discriminant Analysis of the Increasing Number of Independent Variables | 187 |
Conclusions | 227 | |
References | 233 | |
Index | 239 |
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