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Recent Publications and Preprints:
Zhou, J. Pan, G.M., Zheng, Z. M. and Tan, C. C. (2024) Reproducible learning in large scale multiple graphical models. Accepted by Statistica Sinica.
Zhang, B, Tian, H. Y, Yao, C, Pan, G. M. (2024). A New Model for Preferential Attachment Scheme with Time-Varying Parameters. Journal of Statistical Physics, Accepted.
Li, H. Q. Pan, G.M., Yan, Q. and Zhou W.(2024) Spectral analysis of gram matrices with missing at random observations: Convergence, central limit theorems, and applications in statistical inference.
Accepted by Annals of Statistics.
Liu,Y.M. Pan, G.M., Yan, G.R. and Zhou W. (2024) Nonparametric conditional mean testing via an extreme-type statistic in high dimension.
Accepted by Scandinavian Journal of Statistics.
Li,H.Q. Pan, G.M., Yan, Q. and Zhou W. (2023) Separable sample covariance matrices under elliptical populations with applications.
Accepted by Transactions of the American Mathematical Society.
Zhang, Z. X. Liu Y. M. and Pan, G. M. (2023) Tracy-Widom law for the extreme eigenvalues of large signal-plus-noise matrices. Accepted by Bernoulli.
Zhang, B. Pan, G. M, Yao, Q. W. and Zhou.W. (2023). Factor Modelling for Clustering High-dimensional Time Series. Accepted by Journal of the American Statistical Association.
Liu Y. M. Liang, Y. C. Zhang, Z. X. and Pan, G. M. (2022) Random or Nonrandom Signal in High-Dimensional Regimes. Accepted by IEEE. Trans. Inform. Theory.
Z. X. Zhang, S.R. Zheng, G.M. Pan, P.S. Zhong. (2022), Asymptotic independence of spiked eigenvalues and linear spectral statistics for large sample covariance matrices. 50(4): 2205-2230. Annals of Statistics.
Dette, H. Pan, G. M. and Yang, Q. (2022) Estimating a change point in a sequence of very
high-dimensional covariance matrices. Journal of the American Statistical Association.
Volume 117 NO. 537. 444-454.
Lin, L. C., Chen, Y. Pan, G. M. and Spokoiny, V. (2021), An efficient semi-positive definite estimator of
realized covariance matrix with asynchronous and noisy high frequency data. Statistics Sinica. Vol. 31, No. 3, pp. 1441-1462.
Cai, T. Han, X. and Pan, G. M. (2020) Limiting Laws for Divergent Spiked Eigenvalues and Largest Non-spiked Eigenvalue of Sample Covariance Matrices.
Annals of Statistics. Vol. 48, No. 3, 1255-1281.
Fan. Q. L. Han. X. Jiang.B. Pan, G. M. (2020) Large system of
seemingly unrelated regressions: a penalized quasi-maximum
likelohood estimation perspetive. Econometric Theory. Volume 36 , Issue 3 , pp. 526 - 558.
Leng, C. L. and Pan, G. M. (2018) Covariance
estimation via sparse Kronecker structures. Bernoulli. Vol. 24, No 4B. 3833-3863.
Bao, Z. G. Hu, J.
Pan, G. M. and Zhou, W
(2019) Canonical correlatiion coefficients of high
dimensional Gaussian vectors: finite rank case.
Annals of Statistics. 47(1): 612-640.
Han, X. Pan, G. M. and Yang, Q.(2018) A unified matrix model including both CCA and F matrices in multivariate analysis: the largest eigenvalue and its applications. Bernoulli.
Vol. 24, No 4B, 3447-3468.
.
Zhang, B. Pan, G. M. and Gao, J. (2018) CLT for Largest Eigenvalues and Unit Root Tests for High--Dimensional Nonstationary Time Series. Annals of Statistics. Vol. 46, No. 5, 2186-2215
Pan, G. M. Wang, S. C. and Zhou, W. (2016) Fluctuations of
linear eigenvalues statistics for Wigner matrices: edge
case. Accepted by Journal of
Statistical Physics.
Wang, X. J. Han, X. and Pan, G. M.(2016) The
logarithmic law of sample covariance matrices near singularity.
Accepted by Bernoulli..
Yang, Q. and Pan, G. M. (2017) Weighted Statistic
in Detecting Faint and Sparse
Alternatives for High-dimensional Covariance Matrices. Journal of
the American Statistical Association. Vol. 112, No. 517.
Han, X. Pan, G. M. and Zhang, B.(2016) The Tracy-Widom law for the Largest Eigenvalue of F Type Matrix. Annals of Statistics. Vol. 44, No. 4, 1564-1592.
Gao, J. Han, X. Pan, G. M. and Yang, Y. R (2016). High Dimensional Correlation Matrices: CLT and Its Applications. Accepted by Journal of the Royal Statistical Society: Series B.
Jing, B. Y. Li, Z. P., Pan, G. M. and Zhou, W. (2016) On SURE-Type Double Shrinkage Estimation. Journal of the American Statistical Association. Vol. 111, No. 516. 1696-1704.
Bao, Z. G, Lin, L. C., Pan, G. M. and Zhou. W. (2015) Spectral statistics of large dimensional Spearman's rank
correlation matrix and its application. Annals of Statistics. Vol. 43, No. 6, 2588-2623.
Chen, B. B. Huang, S. F. and Pan, G. M (2014). High dimensional mean
variance optimization via factor analysis. Journal of
Multivariate Analysis, . 133, 140-159.
Wang, C., Pan, G. M., Tong T. J. and Zhu, L. X (2014). Shrinkage
estimator of large dimensional precision matrix using random matrix
theory. Accepted, Statistica Sinica,.
Bao, Z. G, Pan, G. M. and Zhou. W.(2015), The logarithmic
law of random determinant. Bernoulli. Vol 21. No. 3. 1600-1628.
Bai, Z. D. Hu, J. Pan, G. M. and Zhou, W.
(2015), Convergence of the empirical spectral distribution function
of Beta matrices. Bernoulli. Vol. 21, No .3. 1538-1574.
Bao, Z. G, Pan, G. M. and Zhou. W. Universality for the largest
eigenvalue of sample covariance matrices with general population. Annals of Statistics. Vol. 43, No. 1, 382-421. 2015.
Bao, Z. G, Pan, G. M. and Zhou. W. Local density of the spectrum on the edge for sample covariance matrices.
Bao, Z. G, Pan, G. M. and Zhou. W. (2014) Universality for a
global property of the eigenvectors of Wigner matrices. Journal of Mathematical Physics.
Bao, Z. G, Pan, G. M. and Zhou. W. (2015) Asymptotic Mutual Information Statistics of MIMO
Channels and CLT of Sample Covariance Matrices. IEEE. Trans. Inform. Theory. Vol. 61, No. 6, 3413-3426.
Pan, G. M.
Gao, J and Yang, Y. R. (2014) Testing independence among a large number
of high dimensional Random Vectors. Journal of American
Statistical Association. Vol. 109, No. 506, 600-612.
Wen, C. K. Pan, G. M., Wong, K. K. Guo. M. H. and Chen, J-C, (2013) A Deterministic Equivalent for
the Analysis of Non-Gaussian Correlated MIMO Multiple Access Channels. IEEE. Trans.Inform. Theory. 59( 1), 329-352.
Bao, Z. G, Pan, G. M. and Zhou. W. (2013) Central limit theorem
for partial linear eigenvalue statistics of Wigner matrices. Journal of
Statistical Physics. 150(1). 88-129.
Bao, Z. G, Pan, G. M. and Zhou. W. Tracy-Widom law for the
extreme eigenvalues of sample correlation
matrices. Electronic journal of probability.
Yang, Y. R and Pan, G. M (2015).
Independence Test For High Dimensional Data Based On Regularized
Canonical Correlation Coefficients. Annals of Statistics. Vol. 43, No. 2, 467-500.
Yang Y. R and Pan, G. M.
The Convergence Of The Empirical Distribution Of Canonical
Correlation Coefficients. Electronic journal of probability.
Chen, B. B. and Pan, G.M. CLT
for linear spectral statistics of normalized sample covariance matrices
with the larger dimension and the small sample size. Bernoulli. Vol. 21, No. 2, 1089-1133. 2015
Bai, Z. D. and Pan. G. M Limiting Behavior of Eigenvectors of
Large Wigner Matrices. Journal of Statistical Physics. 146(3) 519-549.
Pan, G.M. and Gao, J. T. Asymptotic theory for sample covariance matrix under cross-sectional dependence.
Pan, G.M. (2012) Comparision between two types of large sample covariance matrices. Annales de l’Institut Henri Poincaré.
Chen, B. B. and Pan, G.M. (2012)
Convergence of the largest eigenvalue of normalized sample covariance
matrices when p and n both tend to infinity with their ratio
converging to zero. Bernoulli, 18, 1405-1420.
Pan,
G. M and Zhou, W. (2011) Central limit theorem for Hotelling's T
statistic under large dimension. Ann. Appl. Prob. 21(5), 1860-1910.
Jing, B. Y, Pan,
G.M , Shao, Q.-M. Zhou. W. (2010) Nonparametric estimate of spectral density
functions of sample covariance matrices: A first step. Annals of Statistics. 6. 3724-3750.
Pan, G. M (2010) Strong convergence of the empirical
distribution of eigenvalues of sample covariance matrices with a perturbation
matrix. Journal of Multivariate
Analysis. 6. 1330-1338.
Pan, G. M and Zhou, W. (2010) Circular law, Extreme Singular
values and Potential theory. Journal of Multivariate Analysis. 3. 645-656.
Pan, G. M , Zhou, W. (2008). Asymptotic distribution of
signal-to-interference ratio of reduced rank linear receiver.
Ann. Appl. Prob. 18(3). 1232-1270.
Pan, G. M., Miao, B. Q. and Jin, B. S. (2008). Central limit theorem of random
quadratics forms involving random matrices Stat. Prob. Letters. 78.
804–809
Liang, Y.C. Cheu, E. Y. Bai, L and Pan, G.M. (2008). On
the relationship between MMSE SIC and BI-GDFE receivers for large
multiple-input multiple-output channels. IEEE Trans. Signal. Proc., 56(
8). 3627- 3637.
Liang, Y. C, Pan, G. M. and Bai, Z. D. (2007) Asymptotic performance of
BI-GFDE and unconditional MMSE with soft interference cancellation for
large MIMO system. IEEE. Trans. Inform. Theory. 35(11), 4173-4190.
Bai, Z. D., Miao, B. Q. and Pan, G. M. (2007).
On the asymptotics of eigenvectors of large sample covariance
matrix. Ann. Prob. 35.(.4),
1532-1572.
Pan, G. M., Guo, M, H. and Liang , Y. C. (2007). Asymptotic
performance of reduced-rank linear receivers with principal component
filter. IEEE. Trans. Inform. Theory. 53(.3). 1148-1151.
Pan, G. M., Guo, M, H. and Zhou, W. (2007). Asymptotic distributions of
the signal-to-interference ratios of LMMSE detection in multiuser
communications. Ann. Appl. Prob. 17(1). 181-206.
Pan, G. M., Miao, B. Q. and Jin, B. S. (2005). Some limiting theorems of
some random quadratic forms. Stat. Prob.
Letters. 75 (3): 151-157.