前言
1極限譜分布
（1）Limiting Behavior of the Eigenvalues of a Multivariate F Matrix（Y. Q. Yin，Z. D. Bai and P. R. Krishnaiah）
（2）On Limiting Spectral Distribution of Product of Two Random Matrices
When the Underlying Distribution Is Isotropic（Z. D. Bai，Y. Q. Yin and P. R. Krishnaiah）
（3）Convergence to the Semicircle Law（Z. D. Bai and Y. Q. Yin）
（4）Semicircle Law for Hadamard Products（Z. D. Bai and L. X. Zhang)
（5）Large Sample Covariance Matrices Without Independence Structures in
Columns（Zhidong Bai and Wang Zhou)
（6）Convergence of the Empirical Spectral Distribution Function of Beta Matrices（Zhidong Bai，Jiang Hu，Guangming Pan and Wang Zhou)
（7）On the Semicircular Law of LargeDimensional Random Quaternion Matrices（Yanqing Yin，Zhidong Bai and Jiang Hu)
2線性譜統計量的中心極限定理
（8）CLT for Linear Spectral Statistics of LargeDimensional Sample Covariance Matrices（Z. D. Bai and Jack W. Silverstein）
（9）Substitution Principle for CLT of Linear Spectral Statistics of HighDimensional Sample Covariance Matrices with Applications to Hypothesis Testing （Shurong Zheng，Zhidong Bai and Jianfeng Yao）
（10）CLT for Linear Spectral Statistics of a Rescaled Sample Precision Matrix（Shurong Zheng，Zhidong Bai and Jianfeng Yao）
（11）CLT for Eigenvalue Statistics of LargeDimensional General Fisher Matrices with Applications（Shurong Zheng，Zhidong Bai and Jianfeng Yao）
（12）Central Limit Theorem for Linear Spectral Statistics of Large Dimensional Separable Sample Covariance Matrices（Zhidong Bai，Huiqin Li and
Guangming Pan）
3經驗譜分布的收斂速度
（13）Convergence Rate of Expected Spectral Distributions of Large Random
Matrices. Part Ⅰ. Wigner Matrices（Z. D. Bai）
（14）Convergence Rate of Expected Spectral Distributions of Large Random
Matrices. Part Ⅱ. Sample Covariance Matrices（Z. D. Bai）
（15）Convergence Rates of Spectral Distributions of Large Sample Covariance Matrices（Z. D. Bai，Baiqi Miao and JianFeng Yao）
（16）Convergence Rates to the MarchenkoPastur Type Distribution（Zhidong Bai，Jiang Hu and Wang Zhou）
4圓律
（17）Circular Law（Z. D. Bai）
5本質離群特征根的中心極限定理
（18）Central Limit Theorems for Eigenvalues in a Spiked Population Model
（Zhidong Bai and Jianfeng Yao）
（19）On Sample Eigenvalues in a Generalized Spiked Population Model（Zhidong Bai and Jianfeng Yao）
（20）Estimation of Spiked Eigenvalues in Spiked Models（Zhidong Bai and Xue Ding）
（21）Generalized Four Moment Theorem and an Application to CLT for Spiked Eigenvalues of HighDimensional Covariance Matrices（Dandan Jiang
and Zhidong Bai）
（22）Partial Generalized Four Moment Theorem Revisited（Dandan Jiang and
Zhidong Bai）
（23）Limiting Spectral Distribution of HighDimensional Noncentral Fisher Matrices and Its Analysis（Xiaozhuo Zhang，Zhidong Bai and Jiang Hu）
6非中心樣本協方差矩陣
（24）No Eigenvalues Outside the Support of the Limiting Spectral Distribution of InformationPlusNoise Type Matrices（Zhidong Bai and Jack W. Silverstein）
7自協方差矩陣
（25）Limiting Spectral Distribution of a Symmetrized AutoCross Covariance Matrix（Baisuo Jin，Chen Wang，Z. D. Bai，K. Krishnan Nair and
Matthew Harding）
（26）Strong Limit of the Extreme Eigenvalues of a Symmetrized AutoCross Covariance Matrix（Chen Wang，Baisuo Jin，Z. D. Bai，K. Krishnan Nair and Matthew Harding）
8隨機矩陣理論在統計中的應用
（27）Corrections to LRT on LargeDimensional Covariance Matrix by RMT（Zhidong Bai，Dandan Jiang，JianFeng Yao and Shurong Zheng）
（28）Testing the Independence of Sets of LargeDimensional Variables（JIANG DanDan，BAI ZhiDong and ZHENG ShuRong）
9特征向量的極限性質
（29）On Asymptotics of Eigenvectors of Large Sample Covariance Matrix（Z. D. Bai，B. Q. Miao and G. M. Pan）
（30）Convergence Rates of Eigenvector Empirical Spectral Distribution of Large Dimensional Sample Covariance Matrix（Ningning Xia，Yingli Qin and Zhidong Bai）
10樣本極值特征根
（31）Limiting Behavior of the Norm of Products of Random Matrices and Two Problems of GemanHwang（Z. D. Bai and Y. Q. Yin）
（32）On the Limit of the Largest Eigenvalue of the Large Dimensional Sample Covariance Matrix（Y. Q. Yin，Z. D. Bai and P. R. Krishnaiah）
（33）A Note on the Largest Eigenvalue of a Large Dimensional Sample Covariance Matrix（Z. D. Bai and Y. Q. Yin）
（34）Necessary and Sufficient Conditions for Almost Sure Convergence of
the Largest Eigenvalue of a Wigner Matrix（Z. D. Bai and Y. Q. Yin）
（35）Limit of the Smallest Eigenvalue of a Large Dimensional Sample Covariance Matrix（Z. D. Bai and Y. Q. Yin）
（36）No Eigenvalues Outside the Support of the Limiting Spectral Distribution of LargeDimensional Sample Covariance Matrices（Z. D. Bai and
Jack W. Silverstein）
（37）Exact Separation of Eigenvalues of Large Dimensional Sample Covariance Matrices（Z. D. Bai and Jack W. Silverstein）
11方法論
（38）Methodologies in Spectral Analysis of Large Dimensional Random Matrices，a Review（Z. D. Bai）
（39）Strong Representation of Weak Convergence（HU Jiang and BAI ZhiDong）
（40）A Review of 20 Years of Naive Tests of Significance for HighDimensional Mean Vectors and Covariance Matrices（HU Jiang and BAI ZhiDong）
