3 citations · 11 across the 17 of their papers we have counts for
5 papers · 1 filter
On the rate of convergence in the CLT for LSS of large-dimensional sample covariance matrices
Jian Cui, Jiang Hu, Zhidong Bai +1
This paper investigates the rate of convergence for the central limit theorem of linear spectral statistic (LSS) associated with large-dimensional sample covariance matrices. We co…
A revisit of the circular law
Zhidong Bai, Jiang Hu
Consider a complex random matrix , whose entries are independent random variables with zero means and unit variances. It is wel…
Exact Separation of Eigenvalues of Large Dimensional Noncentral Sample Covariance Matrices
Zhidong Bai, Jiang Hu, Jack W. Silverstein +1
Let $ \bbB_n =\frac{1}{n}(\bbR_n + \bbT^{1/2}_n \bbX_n)(\bbR_n + \bbT^{1/2}_n \bbX_n)^* $ where $ \bbX_n $ is a matrix with independent standardized random variables…
No Eigenvalues Outside the Support of the Limiting Spectral Distribution of Large Dimensional noncentral Sample Covariance Matrices
Zhidong Bai, Jiang Hu, Jack W. Silverstein +1
Let $ \bbB_n =\frac{1}{n}(\bbR_n + \bbT^{1/2}_n \bbX_n)(\bbR_n + \bbT^{1/2}_n \bbX_n)^* $, where $ \bbX_n $ is a matrix with independent standardized random variable…
Central limit theorem for linear spectral statistics of large dimensional separable sample covariance matrices
Bai Zhidong, Li Huiqin, Pan Guangming
Suppose that is whose elements are independent real variables with mean zero, variance 1 and the fourth moment equal to three. The separable samp…