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Author ID: bai.zhi-dong Recent zbMATH articles by "Bai, Zhi-Dong"
Published as: Bai, Zhidong; Bai, Z. D.; Bai, Zhi-Dong; Bai, Zhi Dong; Bai, ZhiDong; Bai, Zhi-dong
Homepage: https://twas.org/sites/default/files/thth7_1.pdf
External Links: MGP · Math-Net.Ru · dblp
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Co-Authors

20 single-authored
31 Hu, Jiang
24 Zhao, Lincheng
18 Krishnaiah, Paruchuri Rama
17 Zheng, Shurong
16 Wu, Yuehua
16 Yao, Jianfeng
15 Silverstein, Jack W.
14 Rao, Calyampudi Radhakrishna
14 Yin, Y.-Q.
9 Hu, Feifang
9 Miao, Bai-qi
8 Chen, Xiru
8 Jiang, Dandan
8 Pan, Guangming
8 Wang, Chen
8 Wong, Wing-Keung
6 Fujikoshi, Yasunori
6 Zhou, Wang
5 Babu, Gutti Jogesh
5 Chen, Guijing
5 Choi, Kwok Pui
5 Hwang, Hsien-Kuei
5 Li, Huiqin
5 Liang, Wenqi
5 Su, Chun
5 Yin, Yanqing
5 Zhang, Baoxue
5 Zhang, Qiuyan
4 Chen, Zehua
4 Hou, Zhiqiang
4 Jin, Baisuo
4 Li, Hua
4 Li, Weiming
4 Liang, Yingchang
4 Liu, Tianqing
4 Zhou, Huanchao
3 Cheng, Philip E.
3 Chow, Mosuk
3 Harding, Matthew C.
3 He, Xuming
3 Hu, Guorong
3 Kundu, Debasis
3 Liu, Huixia
3 Tsai, Tsung-Hsi
3 Tsay, Jhishen
3 Xia, Ningning
3 Zhang, Li-Xin
3 Zhao, Ningning
2 Biswas, Atanu
2 Chao, Chern-Ching
2 Chen, Jiaqi
2 Fu, James C.
2 Guo, Meihui
2 Hui, Yongchang
2 Li, Gang
2 Liu, Yan
2 Luo, Wenya
2 Nair, K. Krishnan
2 Qin, Yingli
2 Sarkar, Sanat Kumar
2 Song, Haiyan
2 Subramanyam, Kasala
2 Wang, Wenjin
2 Wang, Xiaoying
2 Wang, Yougan
2 Xu, Daming
2 Zen, Mei-Mei
2 Zhang, Bingzhi
2 Zhang, Chao
2 Zhang, Xiaozhuo
1 An, Hongzhi
1 Andrews, George Eyre
1 Ang, Gregory Tai Xiang
1 Bai, Li
1 Brockwell, Peter John
1 Chang, Lo-Bin
1 Chen, Changhua
1 Chen, Ling
1 Chen, Yang
1 Chen, Yuming
1 Chen, Yuming
1 Cheng, Yu
1 Chernoff, Herman
1 Couillet, Romain
1 Cui, Wenquan
1 Davis, Richard A.
1 Debbah, Mérouane
1 Devroye, Luc P. J. A.
1 Ding, Xue
1 Du, Xiangjun
1 Du, Yanyi
1 Eddy, William F.
1 Fang, Zhaoben
1 Frieden, Roy B.
1 Fu, Liya
1 Gao, Wei
1 Ge, Jungang
1 Ha, Gaofan
1 Hsing, Tailen
1 Hua, Dunming
...and 50 more Co-Authors
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Serials

23 Journal of Multivariate Analysis
14 Statistics & Probability Letters
11 The Annals of Probability
11 Journal of Statistical Planning and Inference
11 Statistica Sinica
10 The Annals of Statistics
9 Bernoulli
7 The Annals of Applied Probability
6 Annals of the Institute of Statistical Mathematics
6 Sankhyā. Series A. Methods and Techniques
6 Scientia Sinica. Series A
6 Statistical Papers
6 Random Matrices: Theory and Applications
5 Science China. Mathematics
4 Probability Theory and Related Fields
4 Electronic Journal of Probability
3 IEEE Transactions on Information Theory
3 Acta Mathematica Sinica
3 Biometrika
3 Sankhyā. Series B. Methodological
3 Journal of Mathematical Research & Exposition
3 Chinese Annals of Mathematics. Series A
3 Journal of Theoretical Probability
3 Communications in Statistics. Theory and Methods
3 Stochastic Processes and their Applications
3 Journal of the Korean Statistical Society
2 Journal of Statistical Physics
2 Teoriya Veroyatnosteĭ i eë Primeneniya
2 Theory of Probability and its Applications
2 Acta Mathematicae Applicatae Sinica
2 Chinese Annals of Mathematics. Series B
2 Statistics
2 SIAM Journal on Matrix Analysis and Applications
2 Random Structures & Algorithms
2 Communications in Statistics. Simulation and Computation
2 Proceedings of the National Academy of Sciences of the United States of America
2 Kexue Tongbao
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Test
1 Advances in Applied Probability
1 The Canadian Journal of Statistics
1 Physics Letters. A
1 Hiroshima Mathematical Journal
1 Journal of the American Statistical Association
1 Journal of Combinatorics, Information & System Sciences
1 Journal of Computational and Applied Mathematics
1 Mathematics and Computers in Simulation
1 Journal of Mathematics. Wuhan University
1 Journal of Time Series Analysis
1 Journal of Northeast Normal University. Natural Science Edition
1 Acta Mathematicae Applicatae Sinica. English Series
1 Science Exploration
1 Chinese Journal of Applied Probability and Statistics
1 Journal of China University of Science and Technology
1 Mathematical and Computer Modelling
1 Science in China. Series A
1 Notices of the American Mathematical Society
1 Computational Statistics and Data Analysis
1 Mathematical Methods of Statistics
1 Mathematical Finance
1 Australian & New Zealand Journal of Statistics
1 Far East Journal of Theoretical Statistics
1 The Econometrics Journal
1 Acta Mathematica Sinica. English Series
1 Quantitative Finance
1 International Mathematical Journal
1 Journal of Systems Science and Complexity
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Lecture Notes in Statistics
1 Cambridge Series in Statistical and Probabilistic Mathematics
1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore
1 Frontiers of Mathematics in China
1 Electronic Journal of Statistics
1 Statistics and Its Interface
1 Sankhyā
1 Mathematics Monograph Series
1 Springer Series in Statistics

Publications by Year

Citations contained in zbMATH Open

196 Publications have been cited 4,491 times in 2,509 Documents Cited by Year
Spectral analysis of large dimensional random matrices. 2nd ed. Zbl 1301.60002
Bai, Zhidong; Silverstein, Jack W.
464
2010
Effect of high dimension: by an example of a two sample problem. Zbl 0848.62030
Bai, Zhidong; Saranadasa, Hewa
291
1996
CLT for linear spectral statistics of large-dimensional sample covariance matrices. Zbl 1063.60022
Bai, Z. D.; Silverstein, Jack W.
198
2004
Methodologies in spectral analysis of large dimensional random matrices, a review. (With comments and rejoinder). Zbl 0949.60077
Bai, Z. D.
198
1999
Limit of the smallest eigenvalue of a large dimensional sample covariance matrix. Zbl 0779.60026
Bai, Z. D.; Yin, Y. Q.
150
1993
No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices. Zbl 0937.60017
Bai, Z. D.; Silverstein, Jack W.
143
1998
Ranked set sampling. Theory and applications. Zbl 1045.62007
Chen, Zehua; Bai, Zhidong; Sinha, Bimal K.
141
2004
On the limit of the largest eigenvalue of the large dimensional sample covariance matrix. Zbl 0627.62022
Yin, Y. Q.; Bai, Z. D.; Krishnaiah, P. R.
134
1988
On the empirical distribution of eigenvalues of a class of large dimensional random matrices. Zbl 0833.60038
Silverstein, Jack W.; Bai, Z. D.
130
1995
Corrections to LRT on large-dimensional covariance matrix by RMT. Zbl 1360.62286
Bai, Zhidong; Jiang, Dandan; Yao, Jian-Feng; Zheng, Shurong
121
2009
Circular law. Zbl 0871.62018
Bai, Z. D.
108
1997
Spectral analysis of large dimensional random matrices. Zbl 1196.60002
Bai, Zhidong; Silverstein, Jack W.
100
2006
Large sample covariance matrices and high-dimensional data analysis. Zbl 1380.62011
Yao, Jianfeng; Zheng, Shurong; Bai, Zhidong
82
2015
Central limit theorems for eigenvalues in a spiked population model. Zbl 1274.62129
Bai, Zhidong; Yao, Jian-Feng
77
2008
Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix. Zbl 0677.60038
Bai, Z. D.; Yin, Y. Q.
76
1988
Large sample covariance matrices without independence structures in columns. Zbl 1135.62009
Bai, Zhidong; Zhou, Wang
67
2008
Probability inequalities. Zbl 1221.60001
Lin, Zhengyan; Bai, Zhidong
65
2010
Marcinkiewicz strong laws for linear statistics. Zbl 0960.60026
Bai, Z. D.; Cheng, Philip E.
61
2000
\(M\)-estimation of multivariate linear regression parameters under a convex discrepancy function. Zbl 0820.62048
Bai, Z. D.; Rao, C. Radhakrishna; Wu, Y.
60
1992
A note on the largest eigenvalue of a large dimensional sample covariance matrix. Zbl 0652.60040
Bai, Z. D.; Silverstein, Jack W.; Yin, Y. Q.
57
1988
On sample eigenvalues in a generalized spiked population model. Zbl 1301.62049
Bai, Zhidong; Yao, Jianfeng
51
2012
Asymptotics in randomized urn models. Zbl 1059.62111
Bai, Zhi-Dong; Hu, Feifang
48
2005
On the convergence of the spectral empirical process of Wigner matrices. Zbl 1101.60012
Bai, Z. D.; Yao, J.
48
2005
Asymptotic distributions of the maximal depth estimators for regression and multivariate location. Zbl 1007.62009
Bai, Zhi-Dong; He, Xuming
45
1999
On asymptotics of eigenvectors of large sample covariance matrix. Zbl 1162.15012
Bai, Z. D.; Miao, B. Q.; Pan, G. M.
45
2007
Convergence rate of expected spectral distributions of large random matrices. I: Wigner matrices. Zbl 0779.60024
Bai, Z. D.
43
1993
Kernel estimators of density function of directional data. Zbl 0669.62015
Bai, Z. D.; Rao, C. Radhakrishna; Zhao, L. C.
43
1988
On detection of the number of signals in presence of white noise. Zbl 0617.62055
Zhao, L. C.; Krishnaiah, P. R.; Bai, Z. D.
41
1986
Asymptotic theorems for urn models with nonhomogeneous generating matrices. Zbl 0954.62014
Bai, Z. D.; Hu, Feifang
41
1999
Exact separation of eigenvalues of large dimensional sample covariance matrices. Zbl 0964.60041
Bai, Z. D.; Silverstein, Jack W.
40
1999
Substitution principle for CLT of linear spectral statistics of high-dimensional sample covariance matrices with applications to hypothesis testing. Zbl 1312.62074
Zheng, Shurong; Bai, Zhidong; Yao, Jianfeng
40
2015
Convergence to the semicircle law. Zbl 0648.60030
Bai, Z. D.; Yin, Y. Q.
39
1988
Convergence rate of expected spectral distributions of large random matrices. II: Sample covariance matrices. Zbl 0779.60025
Bai, Z. D.
38
1993
Enhancement of the applicability of Markowitz’s portfolio optimization by utilizing random matrix theory. Zbl 1185.91155
Bai, Zhidong; Liu, Huixia; Wong, Wing-Keung
38
2009
The complete convergence for partial sums of i.i.d. random variables. Zbl 0554.60039
Bai, Zhidong; Su, Chun
33
1985
Asymptotic properties of adaptive designs for clinical trials with delayed response. Zbl 1012.62087
Bai, Z. D.; Hu, Feifang; Rosenberger, William F.
28
2002
Limiting behavior of the norm of products of random matrices and two problems of Geman-Hwang. Zbl 0586.60021
Bai, Z. D.; Yin, Y. Q.
27
1986
On testing the equality of high dimensional mean vectors with unequal covariance matrices. Zbl 1396.62106
Hu, Jiang; Bai, Zhidong; Wang, Chen; Wang, Wei
26
2017
Gaussian approximation theorems for urn models and their applications. Zbl 1014.60025
Bai, Z. D.; Hu, Feifang; Zhang, Li-Xin
25
2002
Testing the independence of sets of large-dimensional variables. Zbl 1256.62033
Jiang, DanDan; Bai, ZhiDong; Zheng, ShuRong
23
2013
Asymptotic theory of least distances estimate in multivariate linear models. Zbl 0714.62048
Bai, Z. D.; Chen, X. R.; Miao, B. Q.; Rao, C. Radhakrishna
22
1990
On estimation of the population spectral distribution from a high-dimensional sample covariance matrix. Zbl 1373.62245
Bai, Zhidong; Chen, Jiaqi; Yao, Jianfeng
22
2010
Limiting behavior of \(M\)-estimators of regression coefficients in high dimensional linear models. I: Scale-dependent case. II: Scale-invariant case. Zbl 0816.62025
Bai, Z. D.; Wu, Y.
21
1994
Maxima in hypercubes. Zbl 1080.60007
Bai, Zhi-Dong; Devroye, Luc; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
21
2005
On detection of the number of signals when the noise covariance matrix is arbitrary. Zbl 0617.62056
Zhao, L. C.; Krishnaiah, P. R.; Bai, Z. D.
20
1986
On rates of convergence of efficient detection criteria in signal processing with white noise. Zbl 0677.94001
Bai, Zhi-Dong; Krishnaiah, Paruchuri R.; Zhao, Lin-Cheng
19
1989
Convergence rates of spectral distributions of large sample covariance matrices. Zbl 1059.60036
Bai, Z. D.; Miao, Baiqi; Yao, Jian-feng
19
2003
No eigenvalues outside the support of the limiting spectral distribution of information-plus-noise type matrices. Zbl 1248.15028
Bai, Zhidong; Silverstein, Jack W.
19
2012
A review of 20 years of naive tests of significance for high-dimensional mean vectors and covariance matrices. Zbl 1360.62290
Hu, Jiang; Bai, ZhiDong
19
2016
An adaptive design for multi-arm clinical trials. Zbl 1011.62079
Bai, Z. D.; Hu, Feifang; Shen, Liang
18
2002
Convergence rates of the spectral distributions of large Wigner matrices. Zbl 0987.60050
Bai, Z. D.; Miao, Baiqi; Tsay, Jhishen
18
2002
Limiting spectral distribution of a symmetrized auto-cross covariance matrix. Zbl 1296.60006
Jin, Baisuo; Wang, Chen; Bai, Z. D.; Nair, K. Krishnan; Harding, Matthew
18
2014
CLT for linear spectral statistics of Wigner matrices. Zbl 1188.15032
Bai, Zhidong; Wang, Xiaoying; Zhou, Wang
18
2009
Testing linear hypotheses in high-dimensional regressions. Zbl 1440.62215
Bai, Zhidong; Jiang, Dandan; Yao, Jian-Feng; Zheng, Shurong
17
2013
Estimation of spiked eigenvalues in spiked models. Zbl 1251.15037
Bai, Zhidong; Ding, Xue
17
2012
Consistency of AIC and BIC in estimating the number of significant components in high-dimensional principal component analysis. Zbl 1395.62119
Bai, Zhidong; Choi, Kwok Pui; Fujikoshi, Yasunori
17
2018
Model selection with data-oriented penalty. Zbl 0926.62045
Bai, Z. D.; Rao, C. R.; Wu, Y.
16
1999
Limiting behavior of the eigenvalues of a multivariate F matrix. Zbl 0531.62018
Yin, Y. Q.; Bai, Z. D.; Krishnaiah, P. R.
15
1983
General \(M\)-estimation. Zbl 0890.62050
Bai, Z. D.; Wu, Y.
15
1997
Functional CLT for sample covariance matrices. Zbl 1210.60025
Bai, Zhidong; Wang, Xiaoying; Zhou, Wang
15
2010
An efficient algorithm for estimating the parameters of superimposed exponential signals. Zbl 1030.62062
Bai, Z. D.; Rao, C. R.; Chow, M.; Kundu, D.
14
2003
On the limiting empirical distribution function of the eigenvalues of a multivariate F matrix. Zbl 0676.62021
Bai, Z. D.; Yin, Y. Q.; Krishnaiah, P. R.
14
1987
On the semicircular law of large-dimensional random quaternion matrices. Zbl 1353.60024
Yin, Yanqing; Bai, Zhidong; Hu, Jiang
13
2016
Edgeworth expansion of a function of sample means. Zbl 0741.62016
Bai, Z. D.; Rao, C. Radhakrishna
12
1991
On limit theorem for the eigenvalues of product of two random matrices. Zbl 1108.15022
Bai, Z. D.; Miao, Baiqi; Jin, Baisuo
12
2007
Statistical analysis for rounded data. Zbl 1162.62012
Bai, Zhidong; Zheng, Shurong; Zhang, Baoxue; Hu, Guorong
12
2009
On the variance of the number of maxima in random vectors and its applications. Zbl 0941.60021
Bai, Zhi-Dong; Chao, Chern-Ching; Hwang, Hsien-Kuei; Liang, Wen-Qi
11
1998
On the theory of ranked-set sampling and its ramifications. Zbl 1008.62023
Bai, Zhidong; Chen, Zehua
11
2003
On limiting spectral distribution of product of two random matrices when the underlying distribution is isotropic. Zbl 0657.62058
Bai, Z. D.; Yin, Y. Q.; Krishnaiah, P. R.
11
1986
Limit theorems for the number of maxima in random samples from planar regions. Zbl 0986.60007
Bai, Zhi-Dong; Hwang, Hsien-Kuei; Liang, Wen-Qi; Tsai, Tsung-Hsi
11
2001
Estimation of the population spectral distribution from a large dimensional sample covariance matrix. Zbl 1278.62079
Li, Weiming; Chen, Jiaqi; Qin, Yingli; Bai, Zhidong; Yao, Jianfeng
11
2013
Strong consistency of the information criterion for model selection in multivariate analysis. Zbl 0678.62064
Nishii, Ryuei; Bai, Zhidong; Krishnaiah, Paruchuri R.
10
1988
A theorem of Feller revisited. Zbl 0669.60034
Bai, Z. D.
10
1989
Convergence rates of eigenvector empirical spectral distribution of large dimensional sample covariance matrix. Zbl 1285.15018
Xia, Ningning; Qin, Yingli; Bai, Zhidong
10
2013
Asymptotic normality of minimum \(L_ 1\)-norm estimates in linear models. Zbl 0728.62068
Chen, Xiru; Bai, Zhidong; Zao, Lincheng; Wu, Yuehua
10
1990
Analysis of rounded data from dependent sequences. Zbl 1432.62065
Zhang, Baoxue; Liu, Tianqing; Bai, Z. D.
10
2010
Normal approximations of the number of records in geometrically distributed random variables. Zbl 0961.60040
Bai, Zhi-Dong; Hwang, Hsien-Kuei; Liang, Wen-Qi
10
1998
Mixtures of global and local Edgeworth expansions and their applications. Zbl 0864.62006
Babu, Gutti Jogesh; Bai, Z. D.
9
1996
A note on the convergence rate of the spectral distributions of large random matrices. Zbl 0894.60034
Bai, Z. D.; Miao, Baiqi; Tsay, Jhishen
9
1997
Limiting behavior of eigenvectors of large Wigner matrices. Zbl 1235.82035
Bai, Z. D.; Pan, G. M.
9
2012
A chi-square test for dimensionality with non-Gaussian data. Zbl 1032.62054
Bai, Z. D.; He, Xuming
9
2004
Rooted edges of a minimal directed spanning tree on random points. Zbl 1094.60004
Bai, Z. D.; Lee, Sungchul; Penrose, Mathew D.
8
2006
An extension of the Hardy-Littlewood strong law. Zbl 1067.60501
Bai, Zhidong; Cheng, Philip E.; Zhang, Cun-Hui
8
1997
The exact and limiting distributions for the number of successes in success runs within a sequence of Markov-dependent two-state trials. Zbl 1067.60064
Fu, James C.; Lou, W. Y. Wendy; Bai, Zhi-Dong; Li, Gang
8
2002
The optimal ranked-set sampling scheme for parametric families. Zbl 0972.62053
Chen, Zehua; Bai, Zhidong
8
2000
Rank regression for analysis of clustered data: a natural induced smoothing approach. Zbl 1464.62074
Fu, Liya; Wang, You-Gan; Bai, Zhidong
8
2010
Least absolute deviations analysis of variance. Zbl 0727.62073
Bai, Z. D.; Rao, C. Radhakrishna; Yin, Y. Q.
8
1990
On the limit of extreme eigenvalues of large dimensional random quaternion matrices. Zbl 1331.15022
Yin, Yanqing; Bai, Zhidong; Hu, Jiang
8
2014
Inference on multiple correlation coefficients with moderately high dimensional data. Zbl 1336.62157
Zheng, Shurong; Jiang, Dandan; Bai, Zhidong; He, Xuming
8
2014
CLT for eigenvalue statistics of large-dimensional general Fisher matrices with applications. Zbl 1375.60066
Zheng, Shurong; Bai, Zhidong; Yao, Jianfeng
8
2017
Multi-sample test for high-dimensional covariance matrices. Zbl 1508.62152
Zhang, Chao; Bai, Zhidong; Hu, Jiang; Wang, Chen
8
2018
Generalized four moment theorem and an application to CLT for spiked eigenvalues of high-dimensional covariance matrices. Zbl 1475.60014
Jiang, Dandan; Bai, Zhidong
8
2021
Error bound in a central limit theorem of double-indexed permutation statistics. Zbl 0897.60024
Zhao, Lincheng; Bai, Zhidong; Chao, Chern-Ching; Liang, Wen-Qi
7
1997
On the maximum-likelihood estimator for the location parameter of a Cauchy distribution. Zbl 0624.62032
Bai, Z. D.; Fu, J. C.
7
1987
Asymptotic properties of eigenmatrices of a large sample covariance matrix. Zbl 1234.15013
Bai, Z. D.; Liu, H. X.; Wong, W. K.
7
2011
Convergence of the empirical spectral distribution function of beta matrices. Zbl 1319.60006
Bai, Zhidong; Hu, Jiang; Pan, Guangming; Zhou, Wang
7
2015
Analysis of rounded data in mixture normal model. Zbl 1254.62023
Zhao, Ningning; Bai, Zhidong
7
2012
Convergence rates of the spectral distributions of large random quaternion self-dual Hermitian matrices. Zbl 1309.15055
Yin, Yanqing; Bai, Zhidong
7
2014
Eigen-inference for energy estimation of multiple sources. Zbl 1366.62107
Couillet, Romain; Silverstein, Jack W.; Bai, Zhidong; Debbah, Mérouane
7
2011
Semicircle law for Hadamard products. Zbl 1139.15012
Bai, Z. D.; Zhang, L. X.
7
2007
Exact and approximate computation of critical values of the largest root test in high dimension. Zbl 07714143
Ang, Gregory Tai Xiang; Bai, Zhidong; Choi, Kwok Pui; Fujikoshi, Yasunori; Hu, Jiang
1
2023
CLT for linear spectral statistics of large dimensional sample covariance matrices with dependent data. Zbl 1486.60048
Zou, Tingting; Zheng, Shurong; Bai, Zhidong; Yao, Jianfeng; Zhu, Hongtu
2
2022
Asymptotics of AIC, BIC and \(C_p\) model selection rules in high-dimensional regression. Zbl 07594063
Bai, Zhidong; Choi, Kwok Pui; Fujikoshi, Yasunori; Hu, Jiang
2
2022
C. R. Rao (1920–) celebrates his 101st birthday. Zbl 1493.01040
Andrews, George E.; Babu, G. J.; Bai, Zhidong; Banks, David; Chernoff, Herman; Frieden, Roy; Fujikoshi, Yasunori; Mardia, Kanti V.; de Bragança Pereira, Basilio; Pingle, Urmila; Rao, M. B.; Srinivasa Rao, Arni S. R.; Rosenberger, James; Varadhan, S. R. S.; Wu, Yuehua
1
2022
Ridgelized Hotelling’s \(T^2\) test on mean vectors of large dimension. Zbl 07762541
Ha, Gao-Fan; Zhang, Qiuyan; Bai, Zhidong; Wang, You-Gan
1
2022
Generalized four moment theorem and an application to CLT for spiked eigenvalues of high-dimensional covariance matrices. Zbl 1475.60014
Jiang, Dandan; Bai, Zhidong
8
2021
Partial generalized four moment theorem revisited. Zbl 1472.60010
Jiang, Dandan; Bai, Zhidong
3
2021
Learning block structures in U-statistic-based matrices. Zbl 07459741
Zhang, Weiping; Jin, Baisuo; Bai, Zhidong
2
2021
Test on the linear combinations of covariance matrices in high-dimensional data. Zbl 1477.62139
Bai, Zhidong; Hu, Jiang; Wang, Chen; Zhang, Chao
1
2021
Approximation of the power functions of Roy’s largest root test under general spiked alternatives. Zbl 1479.62037
Hou, Zhiqiang; Liu, Yan; Bai, Zhidong; Hu, Jiang
1
2021
Bayesian statistical inference based on rounded data. Zbl 07552566
Zhao, Ningning; Bai, Zhidong
2
2020
Modified Pillai’s trace statistics for two high-dimensional sample covariance matrices. Zbl 1437.62204
Zhang, Qiuyan; Hu, Jiang; Bai, Zhidong
1
2020
Central limit theorem for linear spectral statistics of large dimensional separable sample covariance matrices. Zbl 1466.60008
Bai, Zhidong; Li, Huiqin; Pan, Guangming
6
2019
On LR simultaneous test of high-dimensional mean vector and covariance matrix under non-normality. Zbl 1407.62203
Niu, Zhenzhen; Hu, Jiang; Bai, Zhidong; Gao, Wei
2
2019
Invariant test based on the modified correction to LRT for the equality of two high-dimensional covariance matrices. Zbl 1418.62242
Zhang, Qiuyan; Hu, Jiang; Bai, Zhidong
2
2019
Convergence rate of eigenvector empirical spectral distribution of large Wigner matrices. Zbl 1420.62235
Xia, Ningning; Bai, Zhidong
2
2019
Consistency of AIC and BIC in estimating the number of significant components in high-dimensional principal component analysis. Zbl 1395.62119
Bai, Zhidong; Choi, Kwok Pui; Fujikoshi, Yasunori
17
2018
Multi-sample test for high-dimensional covariance matrices. Zbl 1508.62152
Zhang, Chao; Bai, Zhidong; Hu, Jiang; Wang, Chen
8
2018
Limiting behavior of eigenvalues in high-dimensional MANOVA via RMT. Zbl 1411.62130
Bai, Zhidong; Choi, Kwok Pui; Fujikoshi, Yasunori
6
2018
Estimating the number of sources in magnetoencephalography using spiked population eigenvalues. Zbl 1398.62353
Yao, Zhigang; Zhang, Ye; Bai, Zhidong; Eddy, William F.
3
2018
A central limit theorem for sums of functions of residuals in a high-dimensional regression model with an application to variance homoscedasticity test. Zbl 1420.62291
Bai, Zhidong; Pan, Guangming; Yin, Yanqing
2
2018
On testing the equality of high dimensional mean vectors with unequal covariance matrices. Zbl 1396.62106
Hu, Jiang; Bai, Zhidong; Wang, Chen; Wang, Wei
26
2017
CLT for eigenvalue statistics of large-dimensional general Fisher matrices with applications. Zbl 1375.60066
Zheng, Shurong; Bai, Zhidong; Yao, Jianfeng
8
2017
Test on the linear combinations of mean vectors in high-dimensional data. Zbl 1369.62122
Li, Huiqin; Hu, Jiang; Bai, Zhidong; Yin, Yanqing; Zou, Kexin
6
2017
A new nonlinearity test to circumvent the limitation of Volterra expansion with application. Zbl 1390.62176
Hui, Yongchang; Wong, Wing-Keung; Bai, Zhidong; Zhu, Zhen-Zhen
1
2017
A review of 20 years of naive tests of significance for high-dimensional mean vectors and covariance matrices. Zbl 1360.62290
Hu, Jiang; Bai, ZhiDong
19
2016
On the semicircular law of large-dimensional random quaternion matrices. Zbl 1353.60024
Yin, Yanqing; Bai, Zhidong; Hu, Jiang
13
2016
Convergence of empirical spectral distributions of large dimensional quaternion sample covariance matrices. Zbl 1400.60007
Li, Huiqin; Bai, Zhi Dong; Hu, Jiang
4
2016
Large sample covariance matrices and high-dimensional data analysis. Zbl 1380.62011
Yao, Jianfeng; Zheng, Shurong; Bai, Zhidong
82
2015
Substitution principle for CLT of linear spectral statistics of high-dimensional sample covariance matrices with applications to hypothesis testing. Zbl 1312.62074
Zheng, Shurong; Bai, Zhidong; Yao, Jianfeng
40
2015
Convergence of the empirical spectral distribution function of beta matrices. Zbl 1319.60006
Bai, Zhidong; Hu, Jiang; Pan, Guangming; Zhou, Wang
7
2015
Extreme eigenvalues of large dimensional quaternion sample covariance matrices. Zbl 1311.60036
Li, Huiqin; Bai, Zhidong
6
2015
Functional CLT of eigenvectors for large sample covariance matrices. Zbl 1309.15054
Xia, Ningning; Bai, Zhidong
6
2015
A note on the limiting spectral distribution of a symmetrized auto-cross covariance matrix. Zbl 1333.60025
Bai, Zhidong; Wang, Chen
4
2015
Stochastic dominance statistics for risk averters and risk seekers: an analysis of stock preferences for USA and China. Zbl 1398.62276
Bai, Zhidong; Li, Hua; McAleer, Michael; Wong, Wing-Keung
4
2015
Strong limit of the extreme eigenvalues of a symmetrized auto-cross covariance matrix. Zbl 1328.60088
Wang, Chen; Jin, Baisuo; Bai, Z. D.; Nair, K. Krishnan; Harding, Matthew
2
2015
Convergence rates of spectral distributions of large dimensional quaternion sample covariance matrices. Zbl 1312.15052
Li, Huiqin; Bai, Zhidong
2
2015
Limiting spectral distribution of a symmetrized auto-cross covariance matrix. Zbl 1296.60006
Jin, Baisuo; Wang, Chen; Bai, Z. D.; Nair, K. Krishnan; Harding, Matthew
18
2014
On the limit of extreme eigenvalues of large dimensional random quaternion matrices. Zbl 1331.15022
Yin, Yanqing; Bai, Zhidong; Hu, Jiang
8
2014
Inference on multiple correlation coefficients with moderately high dimensional data. Zbl 1336.62157
Zheng, Shurong; Jiang, Dandan; Bai, Zhidong; He, Xuming
8
2014
Convergence rates of the spectral distributions of large random quaternion self-dual Hermitian matrices. Zbl 1309.15055
Yin, Yanqing; Bai, Zhidong
7
2014
Spectral theory of large dimensional random matrices and its applications to wireless communications and finance statistics. Random matrix theory and its applications. Zbl 1288.15046
Bai, Zhidong; Fang, Zhaoben; Liang, Ying-Chang
6
2014
CLT for linear spectral statistics of a rescaled sample precision matrix. Zbl 1330.15045
Zheng, Shurong; Bai, Zhidong; Yao, Jianfeng
6
2014
Weighted estimating equation: modified GEE in longitudinal data analysis. Zbl 1308.62098
Liu, Tianqing; Bai, Zhidong; Zhang, Baoxue
1
2014
Testing the independence of sets of large-dimensional variables. Zbl 1256.62033
Jiang, DanDan; Bai, ZhiDong; Zheng, ShuRong
23
2013
Testing linear hypotheses in high-dimensional regressions. Zbl 1440.62215
Bai, Zhidong; Jiang, Dandan; Yao, Jian-Feng; Zheng, Shurong
17
2013
Estimation of the population spectral distribution from a large dimensional sample covariance matrix. Zbl 1278.62079
Li, Weiming; Chen, Jiaqi; Qin, Yingli; Bai, Zhidong; Yao, Jianfeng
11
2013
Convergence rates of eigenvector empirical spectral distribution of large dimensional sample covariance matrix. Zbl 1285.15018
Xia, Ningning; Qin, Yingli; Bai, Zhidong
10
2013
Asymptotic error bounds for kernel-based Nyström low-rank approximation matrices. Zbl 1349.62262
Chang, Lo-Bin; Bai, Zhidong; Huang, Su-Yun; Hwang, Chii-Ruey
2
2013
Analysis of rounded data in measurement error regression. Zbl 1294.62034
Zhao, Ningning; Bai, Z. D.
1
2013
On sample eigenvalues in a generalized spiked population model. Zbl 1301.62049
Bai, Zhidong; Yao, Jianfeng
51
2012
No eigenvalues outside the support of the limiting spectral distribution of information-plus-noise type matrices. Zbl 1248.15028
Bai, Zhidong; Silverstein, Jack W.
19
2012
Estimation of spiked eigenvalues in spiked models. Zbl 1251.15037
Bai, Zhidong; Ding, Xue
17
2012
Limiting behavior of eigenvectors of large Wigner matrices. Zbl 1235.82035
Bai, Z. D.; Pan, G. M.
9
2012
Analysis of rounded data in mixture normal model. Zbl 1254.62023
Zhao, Ningning; Bai, Zhidong
7
2012
Rounded data analysis based on ranked set sample. Zbl 1440.62086
Li, Weiming; Liu, Tianqing; Bai, Zhidong
6
2012
Convergence rates to the Marchenko-Pastur type distribution. Zbl 1234.60033
Bai, Zhidong; Hu, Jiang; Zhou, Wang
4
2012
Asymptotic properties of eigenmatrices of a large sample covariance matrix. Zbl 1234.15013
Bai, Z. D.; Liu, H. X.; Wong, W. K.
7
2011
Eigen-inference for energy estimation of multiple sources. Zbl 1366.62107
Couillet, Romain; Silverstein, Jack W.; Bai, Zhidong; Debbah, Mérouane
7
2011
A note on rate of convergence in probability to semicircular law. Zbl 1244.60022
Bai, Zhidong; Hu, Jiang; Pan, Guangming; Zhou, Wang
5
2011
Rounded data analysis based on multi-layer ranked set sampling. Zbl 1271.62118
Li, Wei Ming; Bai, Zhi Dong
4
2011
Test statistics for prospect and Markowitz stochastic dominances with applications. Zbl 1219.91149
Bai, Zhidong; Li, Hua; Liu, Huixia; Wong, Wing-Keung
4
2011
The mean-variance ratio test – a complement to the coefficient of variation test and the Sharpe ratio test. Zbl 1219.62030
Bai, Zhidong; Wang, Keyan; Wong, Wing-Keung
4
2011
Analysis of accumulated rounding errors in autoregressive processes. Zbl 1294.62182
Li, Weiming; Bai, Z. D.
4
2011
Super efficient frequency estimation. Zbl 1213.62098
Kundu, Debasis; Bai, Zhidong; Nandi, Swagata; Bai, Li
3
2011
Multivariate causality tests with simulation and application. Zbl 1219.62094
Bai, Zhidong; Li, Heng; Wong, Wing-Keung; Zhang, Bingzhi
3
2011
Spectral analysis of large dimensional random matrices. 2nd ed. Zbl 1301.60002
Bai, Zhidong; Silverstein, Jack W.
464
2010
Probability inequalities. Zbl 1221.60001
Lin, Zhengyan; Bai, Zhidong
65
2010
On estimation of the population spectral distribution from a high-dimensional sample covariance matrix. Zbl 1373.62245
Bai, Zhidong; Chen, Jiaqi; Yao, Jianfeng
22
2010
Functional CLT for sample covariance matrices. Zbl 1210.60025
Bai, Zhidong; Wang, Xiaoying; Zhou, Wang
15
2010
Analysis of rounded data from dependent sequences. Zbl 1432.62065
Zhang, Baoxue; Liu, Tianqing; Bai, Z. D.
10
2010
Rank regression for analysis of clustered data: a natural induced smoothing approach. Zbl 1464.62074
Fu, Liya; Wang, You-Gan; Bai, Zhidong
8
2010
Multivariate linear and nonlinear causality tests. Zbl 1201.62072
Bai, Zhidong; Wong, Wing-Keung; Zhang, Bingzhi
6
2010
The limiting spectral distribution of the product of the Wigner matrix and a nonnegative definite matrix. Zbl 1200.15020
Bai, Z. D.; Zhang, L. X.
6
2010
Revisit of Sheppard corrections in linear regression. Zbl 1207.62123
Liu, TianQing; Zhang, BaoXue; Hu, GuoRong; Bai, ZhiDong
1
2010
Corrections to LRT on large-dimensional covariance matrix by RMT. Zbl 1360.62286
Bai, Zhidong; Jiang, Dandan; Yao, Jian-Feng; Zheng, Shurong
121
2009
Enhancement of the applicability of Markowitz’s portfolio optimization by utilizing random matrix theory. Zbl 1185.91155
Bai, Zhidong; Liu, Huixia; Wong, Wing-Keung
38
2009
CLT for linear spectral statistics of Wigner matrices. Zbl 1188.15032
Bai, Zhidong; Wang, Xiaoying; Zhou, Wang
18
2009
Statistical analysis for rounded data. Zbl 1162.62012
Bai, Zhidong; Zheng, Shurong; Zhang, Baoxue; Hu, Guorong
12
2009
Random matrix theory and its applications. Multivariate statistics and wireless communications. Zbl 1176.15001
5
2009
Central limit theorems for eigenvalues in a spiked population model. Zbl 1274.62129
Bai, Zhidong; Yao, Jian-Feng
77
2008
Large sample covariance matrices without independence structures in columns. Zbl 1135.62009
Bai, Zhidong; Zhou, Wang
67
2008
Statistical analysis for rounded data. Zbl 1269.62035
Bai, Zhidong; Zheng, Shurong; Zhang, Baoxue; Hu, Guorong
2
2008
On constrained M-estimation and its recursive analog in multivariate linear regression models. Zbl 1135.62045
Bai, Zhidong; Chen, Xiru; Wu, Yuehua
2
2008
On asymptotics of eigenvectors of large sample covariance matrix. Zbl 1162.15012
Bai, Z. D.; Miao, B. Q.; Pan, G. M.
45
2007
On limit theorem for the eigenvalues of product of two random matrices. Zbl 1108.15022
Bai, Z. D.; Miao, Baiqi; Jin, Baisuo
12
2007
Semicircle law for Hadamard products. Zbl 1139.15012
Bai, Z. D.; Zhang, L. X.
7
2007
On the signal-to-interference ratio of CDMA systems in wireless communications. Zbl 1133.94012
Bai, Z. D.; Silverstein, Jack W.
5
2007
Asymptotic performance of MMSE receivers for large systems using random matrix theory. Zbl 1326.94010
Liang, Ying-Chang; Pan, Guangming; Bai, Z. D.
2
2007
Statistics with estimated parameters. Zbl 1128.62026
Yang, Z. L.; Tse, Y. K.; Bai, Z. D.
2
2007
A generalized confidence interval for the difference of the means of two normal populations. Zbl 1133.62018
Tao, Jian; Biswas, Atanu; Bai, Zhi-Dong
1
2007
Spectral analysis of large dimensional random matrices. Zbl 1196.60002
Bai, Zhidong; Silverstein, Jack W.
100
2006
Rooted edges of a minimal directed spanning tree on random points. Zbl 1094.60004
Bai, Z. D.; Lee, Sungchul; Penrose, Mathew D.
8
2006
Asymptotics in randomized urn models. Zbl 1059.62111
Bai, Zhi-Dong; Hu, Feifang
48
2005
On the convergence of the spectral empirical process of Wigner matrices. Zbl 1101.60012
Bai, Z. D.; Yao, J.
48
2005
Maxima in hypercubes. Zbl 1080.60007
Bai, Zhi-Dong; Devroye, Luc; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
21
2005
The broken sample problem. Zbl 1062.62041
Bai, Zhidong; Hsing, Tailen
4
2005
CLT for linear spectral statistics of large-dimensional sample covariance matrices. Zbl 1063.60022
Bai, Z. D.; Silverstein, Jack W.
198
2004
Ranked set sampling. Theory and applications. Zbl 1045.62007
Chen, Zehua; Bai, Zhidong; Sinha, Bimal K.
141
2004
A chi-square test for dimensionality with non-Gaussian data. Zbl 1032.62054
Bai, Z. D.; He, Xuming
9
2004
...and 96 more Documents
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Cited by 2,779 Authors

109 Bai, Zhi-Dong
42 Yao, Jianfeng
35 Pan, Guangming
34 Bose, Arup
30 Erdős, László
30 Zheng, Shurong
29 Hu, Jiang
27 Götze, Friedrich
26 Zhou, Wang
23 Jiang, Tiefeng
22 Hu, Feifang
22 Silverstein, Jack W.
22 Tikhomirov, Alexander Nikolaevich
21 Zhang, Li-Xin
19 Aoshima, Makoto
19 Li, Weiming
19 Yata, Kazuyoshi
18 Vũ Hà Văn
17 Fujikoshi, Yasunori
17 Wong, Wing-Keung
17 Wu, Yuehua
17 Yin, Yanqing
16 Chen, Pingyan
16 Wang, Xuejun
15 Bodnar, Taras
15 O’Rourke, Sean D.
15 Sung, Soohak
15 Zhao, Lincheng
14 Cui, Hengjian
14 Zhang, Jinting
13 Bao, Zhigang
13 Bordenave, Charles
13 Cipolloni, Giorgio
13 Guionnet, Alice
13 Heiny, Johannes
13 Najim, Jamal
13 Péché, Sandrine
13 Schröder, Dominik
13 Tikhomirov, Konstantin E.
12 Chafaï, Djalil
12 Couillet, Romain
12 El Karoui, Noureddine
12 Jiang, Dandan
12 Kundu, Debasis
12 Li, Runze
12 Miao, Bai-qi
12 Modarres, Reza
12 Qi, Yongcheng
12 Saha, Koushik
12 Soshnikov, Alexander B.
11 Balakrishnan, Narayanaswamy
11 Feng, Long
11 Jafari Jozani, Mohammad
11 Jin, Baisuo
11 Krüger, Torben
11 Tao, Terence
11 Yin, Jun
10 Benaych-Georges, Florent
10 Capitaine, Mireille
10 Dette, Holger
10 Fan, Jianqing
10 Hachem, Walid
10 Hyodo, Masashi
10 Ledoit, Olivier
10 Lin, Zhengyan
10 Litvak, Aleksandr Evgen’evich
10 Lytova, Anna
10 Parolya, Nestor R.
10 Rao, Calyampudi Radhakrishna
10 Samawi, Hani M.
10 Shen, Aiting
10 Vershynin, Roman
10 Xie, Junshan
10 Yau, Horng-Tzer
10 Zhang, Baoxue
10 Zou, Changliang
9 Adamczak, Radosław
9 Baik, Jinho
9 Cai, Tianwen
9 Ding, Xiucai
9 Ding, Xue
9 Dobriban, Edgar
9 Mahdizadeh, Mahdi
9 Renfrew, David
9 Rudelson, Mark
9 Wolf, Michael
9 Xu, Kai
9 Yaskov, Pavel A.
9 Zamanzade, Ehsan
9 Zhu, Lixing
9 Zuo, Yijun
8 Basak, Anirban
8 Cao, Mingxiang
8 Chen, Songxi
8 Harrar, Solomon W.
8 Hazra, Rajat Subhra
8 Huang, Haiwu
8 Johnstone, Iain Murray
8 Lachos Dávila, Víctor Hugo
8 Li, Tao
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Cited in 322 Serials

204 Journal of Multivariate Analysis
145 The Annals of Statistics
111 Random Matrices: Theory and Applications
96 Statistics & Probability Letters
91 Journal of Statistical Planning and Inference
88 Communications in Statistics. Theory and Methods
72 Computational Statistics and Data Analysis
60 Journal of Theoretical Probability
56 Probability Theory and Related Fields
54 The Annals of Probability
47 The Annals of Applied Probability
47 Bernoulli
36 Journal of Statistical Computation and Simulation
35 Journal of Mathematical Physics
35 Statistical Papers
35 Electronic Journal of Statistics
33 Journal of Statistical Physics
33 Journal of Econometrics
32 Annals of the Institute of Statistical Mathematics
30 Communications in Statistics. Simulation and Computation
30 Stochastic Processes and their Applications
26 Journal of the American Statistical Association
26 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
26 Statistica Sinica
24 Statistics
23 Communications in Mathematical Physics
23 Electronic Journal of Probability
22 Computational Statistics
20 Journal of the Korean Statistical Society
19 Metrika
19 Science China. Mathematics
17 Test
17 Acta Mathematica Sinica. English Series
16 Advances in Applied Probability
15 Linear Algebra and its Applications
15 Journal of Inequalities and Applications
14 Acta Mathematicae Applicatae Sinica. English Series
14 Science in China. Series A
13 Theory of Probability and its Applications
13 Journal of Applied Probability
13 Journal of Functional Analysis
13 Journal of Nonparametric Statistics
13 Australian & New Zealand Journal of Statistics
13 Journal of Applied Statistics
12 Journal of Mathematical Analysis and Applications
12 Advances in Mathematics
12 Journal of Machine Learning Research (JMLR)
11 Scandinavian Journal of Statistics
10 Biometrics
10 Random Structures & Algorithms
9 Sequential Analysis
9 Journal of Mathematical Sciences (New York)
9 Methodology and Computing in Applied Probability
9 Journal of Statistical Theory and Practice
8 Communications on Pure and Applied Mathematics
8 Journal of Time Series Analysis
8 Journal of Mathematical Inequalities
7 The Canadian Journal of Statistics
7 Annales Henri Poincaré
7 Brazilian Journal of Probability and Statistics
7 Journal of Systems Science and Complexity
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7 Journal of Physics A: Mathematical and Theoretical
7 Sankhyā. Series A
6 Transactions of the American Mathematical Society
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6 European Journal of Operational Research
6 Applied Mathematics. Series B (English Edition)
6 Filomat
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6 ALEA. Latin American Journal of Probability and Mathematical Statistics
6 AStA. Advances in Statistical Analysis
6 The Annals of Applied Statistics
6 Probability Surveys
5 Lithuanian Mathematical Journal
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5 Statistica
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5 Revista Investigación Operacional
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5 Journal of High Energy Physics
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5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Oberwolfach Reports
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Indian Journal of Pure & Applied Mathematics
4 Israel Journal of Mathematics
4 Geometric and Functional Analysis. GAFA
4 Combinatorics, Probability and Computing
4 Electronic Communications in Probability
4 Abstract and Applied Analysis
4 Journal of the Royal Statistical Society. Series B. Statistical Methodology
4 Discrete Dynamics in Nature and Society
4 Foundations of Computational Mathematics
4 Journal of Applied Mathematics
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Journal of Statistical Mechanics: Theory and Experiment
4 Advances in Data Analysis and Classification. ADAC
4 SIAM Journal on Mathematics of Data Science
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Cited in 47 Fields

1,594 Statistics (62-XX)
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7 History and biography (01-XX)
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