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20072022
most citedOn asymptotics of eigenvectors of large sample covariance matrix

87 citations · 310 across the 25 of their papers we have counts for

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6 papers · 1 filter

math.PR2016★ 2 cited

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…

math.PR2012★ 19 cited

Convergence of the empirical spectral distribution function of Beta matrices

Zhidong Bai, Jiang Hu, Guangming Pan +1

Let , where and are two independent sample covariance matrices with dimension a…

math.PR2011

A Note on Rate of Convergence in Probability to Semicircular Law

Zhidong Bai, Jiang Hu, Guangming Pan +1

In the present paper, we prove that under the assumption of the finite sixth moment for elements of a Wigner matrix, the convergence rate of its empirical spectral distribution to…

math.PR2007★ 87 cited

On asymptotics of eigenvectors of large sample covariance matrix

Z. D. Bai, B. Q. Miao, G. M. Pan

Let \{\}, be a double array of i.i.d. complex random variables with and , and let $A_n=\frac{1}{N}T_n^{{1}/{2}}X_nX…

math.PR2007★ 12 cited

Circular law, Extreme Singular values and Potential theory

Guangming Pan, Wang Zhou

Consider the empirical spectral distribution of complex random matrix whose entries are independent and identically distributed random variables with mean zero and vari…

math.PR2007★ 8 cited

Asymptotic distributions of the signal-to-interference ratios of LMMSE detection in multiuser communications

Guang-Ming Pan, Mei-Hui Guo, Wang Zhou

Let , where are independent and identically distributed random variables with $Ev_{11…