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Multivariate Statistical Analysis: A High-Dimensional Approach Book

Multivariate Statistical Analysis: A High-Dimensional Approach
Multivariate Statistical Analysis: A High-Dimensional Approach, , Multivariate Statistical Analysis: A High-Dimensional Approach has a rating of 3 stars
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  • Multivariate Statistical Analysis: A High-Dimensional Approach
  • Written by author V. I. Serdobolskii
  • Published by Springer-Verlag New York, LLC, October 2000
  • This book presents a new branch of mathematical statistics aimed at constructing unimprovable methods of multivariate analysis, multi-parametric estimation, and discriminant and regression analysis. In contrast to the traditional consistent Fisher method
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Preface
Introduction1
Ch. 1Spectral Properties of Large Wishart Matrices25
Ch. 2Resolvents and Spectral Functions of Large Sample Covariance Matrices40
Ch. 3Resolvents and Spectral Functions of Large Pooled Sample Covariance Matrices61
Ch. 4Normal Evaluation of Quality Functions76
Ch. 5Estimation of High-Dimensional Inverse Covariance Matrices87
Ch. 6Epsilon-Dominating Component-Wise Shrinkage Estimators of Normal Mean102
Ch. 7Improved Estimators of High-Dimensional Expectation Vectors112
Ch. 8Quadratic Risk of Linear Regression with a Large Number of Random Predictors131
Ch. 9Linear Discriminant Analysis of Normal Populations with Coinciding Covariance Matrices156
Ch. 10Population Free Quality of Discrimination169
Ch. 11Theory of Discriminant Analysis of the Increasing Number of Independent Variables187
Conclusions227
References233
Index239


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