Spectral Analysis of Large Dimensional Random Matrices(Second Edition)
Zhidong Bai, Jack W.Silverstein
详细介绍了大维随机矩阵的特征值分布理论This book is dedicated to
Professor Calyampudi radhakrishna rao's 90th Birthday
Professor UIf Grenander's 87th Birthday
Professor Yongquan Yins 80th Birthday
and to
My wife, Xicun Dan, my sons
Li and steve gang, and grandsons
Yongji, and Yonglin
Zhidong bai
My children, Hila and Idan
ck W. silverstein
Preface to the second edition
The ongoing developments being made in large dimensional data analysis
continue to generate great interest in random matrix theory in both theoret
ical investigations and applications in many disciplines. This has doubtlessly
contributed to the significant demand for this monograph, resulting in its first
printing being sold out. The authors have received many requests to publish
a second edition of the book
Since the publication of the first edition in 2006, many new results have
been reported in the literature. However, due to limitations in space, we
cannot include all new achievements in the second edition. In accordance with
the needs of statistics and signal processing, we have added a new chapter on
the limiting behavior of eigenvectors of large dimensional sample covariance
matrices. To illustrate the application of rmt to wireless communications
and statistical finance, we have added a chapter on these areas. Certain new
developments are commented on throughout the book. Some typos and errors
found in the first edition have been corrected
The authors would like to express their appreciation to Ms Li Hong for her
help in the preparation of the second edition. They would also like to thank
Professors Ying-Chang Liang, Zhaoben Fang, Baoxue Zhang, and Shurong
Zheng, and Mr Jiang Hu, for their valuable comments and suggestions. They
also thank the copy editor, Mr. Hal Heinglein, for his careful reading, cor
rections, and helpful suggestions. The first author would like to acknowledge
the support from grants NSFC
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