CLT for linear spectral statistics of normalized sample covariance matrices with the dimension much larger than the sample size by Chen, Binbin, Pan, Guangming

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Convergence of the empirical spectral distribution function of Beta matrices by Bai, Zhidong, Hu, Jiang, Pan, Guangming, Zhou, Wang

“…In this paper, we focus on the limiting spectral distribution function and the central limit theorem of linear spectral statistics of Bn. Especially, we do not require Sn or TN to be invertible. …”
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Independence test for high dimensional data based on regularized canonical correlation coefficients by Yang, Yanrong, Pan, Guangming

“…The asymptotic distribution of the statistic under the null hypothesis is established as a corollary of general central limit theorems (CLT) for the linear statistics of classical and regularized sample canonical correlation coefficients when p1p1p1 and p2p2p2 are both comparable to the sample size nnn. …”
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Efficient Bayesian estimation and use of cut posterior in semiparametric hidden Markov models by Moss, D, Rousseau, J