Edit Profile (opens in new tab) Bai, Zhi-Dong Compute Distance To: Compute Author ID: bai.zhi-dong Published as: Bai, Zhidong; Bai, Z. D.; Bai, Zhi-Dong; Bai, Zhi Dong; Bai, ZhiDong; Bai, Zhi-dong more...less Homepage: https://twas.org/sites/default/files/thth7_1.pdf External Links: MGP · Math-Net.Ru · dblp Documents Indexed: 239 Publications since 1981, including 6 Books 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 18 Reviews Biographic References: 10 Publications Co-Authors: 139 Co-Authors with 219 Joint Publications 4,862 Co-Co-Authors all top 5 Co-Authors 19 single-authored 24 Zhao, Lincheng 18 Hu, Jiang 18 Krishnaiah, Paruchuri Rama 16 Wu, Yuehua 14 Rao, Calyampudi Radhakrishna 14 Yao, Jianfeng 14 Yin, Y.-Q. 14 Zheng, Shurong 12 Silverstein, Jack W. 9 Hu, Feifang 9 Miao, Bai-qi 8 Chen, Xiru 8 Wong, Wing-Keung 7 Pan, Guangming 6 Jiang, Dandan 6 Wang, Chen 6 Zhou, Wang 5 Babu, Gutti Jogesh 5 Chen, Guijing 5 Hwang, Hsien-Kuei 5 Li, Huiqin 5 Liang, Wenqi 5 Su, Chun 5 Yin, Yanqing 5 Zhang, Baoxue 4 Chen, Zehua 4 Choi, Kwok Pui 4 Fujikoshi, Yasunori 4 Jin, Baisuo 4 Li, Hua 4 Li, Weiming 4 Liu, Tianqing 3 Cheng, Philip E. 3 Chow, Mosuk 3 He, Xuming 3 Hu, Guorong 3 Kundu, Debasis 3 Liang, Yingchang 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 Harding, Matthew C. 2 Hui, Yongchang 2 Li, Gang 2 Liu, Yan 2 Nair, K. Krishnan 2 Qin, Yingli 2 Sarkar, Sanat Kumar 2 Subramanyam, Kasala 2 Wang, Wenjin 2 Wang, Xiaoying 2 Xu, Daming 2 Zen, Mei-Mei 2 Zhang, Bingzhi 2 Zhang, Chao 2 Zhang, Qiuyan 1 An, Hongzhi 1 Andrews, George Eyre 1 Bai, Li 1 Brockwell, Peter J. 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 Hou, Zhiqiang 1 Hsing, Tailen 1 Hua, Dunming 1 Huang, Suyun 1 Hwang, Chii-Ruey 1 Lee, Sungchul 1 Li, Heng 1 Lin, Zhengyan 1 Lo Huang, Mong-Na 1 Lou, W. Y. Wendy 1 Luo, Wenya 1 Lv, Zhihui ...and 40 more Co-Authors all top 5 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 9 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 4 Probability Theory and Related Fields 4 Electronic Journal of Probability 4 Science China. Mathematics 4 Random Matrices: Theory and Applications 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 Communications in Statistics. Theory and Methods 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 Journal of Theoretical Probability 2 SIAM Journal on Matrix Analysis and Applications 2 Random Structures & Algorithms 2 Proceedings of the National Academy of Sciences of the United States of America 2 Stochastic Processes and their Applications 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 Communications in Statistics. Simulation and Computation 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 Sankhyā 1 Mathematics Monograph Series 1 Springer Series in Statistics all top 5 Fields 188 Statistics (62-XX) 114 Probability theory and stochastic processes (60-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 14 Numerical analysis (65-XX) 11 Information and communication theory, circuits (94-XX) 4 History and biography (01-XX) 4 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 185 Publications have been cited 3,779 times in 2,095 Documents Cited by ▼ Year ▼ Spectral analysis of large dimensional random matrices. 2nd ed. Zbl 1301.60002Bai, Zhidong; Silverstein, Jack W. 346 2010 Effect of high dimension: by an example of a two sample problem. Zbl 0848.62030Bai, Zhidong; Saranadasa, Hewa 239 1996 Methodologies in spectral analysis of large dimensional random matrices, a review. (With comments and rejoinder). Zbl 0949.60077Bai, Z. D. 183 1999 CLT for linear spectral statistics of large-dimensional sample covariance matrices. Zbl 1063.60022Bai, Z. D.; Silverstein, Jack W. 164 2004 Limit of the smallest eigenvalue of a large dimensional sample covariance matrix. Zbl 0779.60026Bai, Z. D.; Yin, Y. Q. 131 1993 No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices. Zbl 0937.60017Bai, Z. D.; Silverstein, Jack W. 128 1998 On the empirical distribution of eigenvalues of a class of large dimensional random matrices. Zbl 0833.60038Silverstein, Jack W.; Bai, Z. D. 119 1995 On the limit of the largest eigenvalue of the large dimensional sample covariance matrix. Zbl 0627.62022Yin, Y. Q.; Bai, Z. D.; Krishnaiah, P. R. 118 1988 Corrections to LRT on large-dimensional covariance matrix by RMT. Zbl 1360.62286Bai, Zhidong; Jiang, Dandan; Yao, Jian-Feng; Zheng, Shurong 103 2009 Circular law. Zbl 0871.62018Bai, Z. D. 94 1997 Ranked set sampling. Theory and applications. Zbl 1045.62007Chen, Zehua; Bai, Zhidong; Sinha, Bimal K. 88 2004 Spectral analysis of large dimensional random matrices. Zbl 1196.60002Bai, Zhidong; Silverstein, Jack W. 77 2006 Central limit theorems for eigenvalues in a spiked population model. Zbl 1274.62129Bai, Zhidong; Yao, Jian-Feng 65 2008 Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix. Zbl 0677.60038Bai, Z. D.; Yin, Y. Q. 64 1988 Marcinkiewicz strong laws for linear statistics. Zbl 0960.60026Bai, Z. D.; Cheng, Philip E. 55 2000 \(M\)-estimation of multivariate linear regression parameters under a convex discrepancy function. Zbl 0820.62048Bai, Z. D.; Rao, C. Radhakrishna; Wu, Y. 55 1992 A note on the largest eigenvalue of a large dimensional sample covariance matrix. Zbl 0652.60040Bai, Z. D.; Silverstein, Jack W.; Yin, Y. Q. 52 1988 Large sample covariance matrices and high-dimensional data analysis. Zbl 1380.62011Yao, Jianfeng; Zheng, Shurong; Bai, Zhidong 52 2015 Large sample covariance matrices without independence structures in columns. Zbl 1135.62009Bai, Zhidong; Zhou, Wang 51 2008 Asymptotics in randomized urn models. Zbl 1059.62111Bai, Zhi-Dong; Hu, Feifang 45 2005 On sample eigenvalues in a generalized spiked population model. Zbl 1301.62049Bai, Zhidong; Yao, Jianfeng 44 2012 Asymptotic distributions of the maximal depth estimators for regression and multivariate location. Zbl 1007.62009Bai, Zhi-Dong; He, Xuming 44 1999 Convergence rate of expected spectral distributions of large random matrices. I: Wigner matrices. Zbl 0779.60024Bai, Z. D. 42 1993 Kernel estimators of density function of directional data. Zbl 0669.62015Bai, Z. D.; Rao, C. Radhakrishna; Zhao, L. C. 42 1988 On asymptotics of eigenvectors of large sample covariance matrix. Zbl 1162.15012Bai, Z. D.; Miao, B. Q.; Pan, G. M. 39 2007 Asymptotic theorems for urn models with nonhomogeneous generating matrices. Zbl 0954.62014Bai, Z. D.; Hu, Feifang 39 1999 On detection of the number of signals in presence of white noise. Zbl 0617.62055Zhao, L. C.; Krishnaiah, P. R.; Bai, Z. D. 38 1986 Convergence rate of expected spectral distributions of large random matrices. II: Sample covariance matrices. Zbl 0779.60025Bai, Z. D. 38 1993 Exact separation of eigenvalues of large dimensional sample covariance matrices. Zbl 0964.60041Bai, Z. D.; Silverstein, Jack W. 37 1999 Convergence to the semicircle law. Zbl 0648.60030Bai, Z. D.; Yin, Y. Q. 36 1988 On the convergence of the spectral empirical process of Wigner matrices. Zbl 1101.60012Bai, Z. D.; Yao, J. 35 2005 Enhancement of the applicability of Markowitz’s portfolio optimization by utilizing random matrix theory. Zbl 1185.91155Bai, Zhidong; Liu, Huixia; Wong, Wing-Keung 33 2009 Substitution principle for CLT of linear spectral statistics of high-dimensional sample covariance matrices with applications to hypothesis testing. Zbl 1312.62074Zheng, Shurong; Bai, Zhidong; Yao, Jianfeng 33 2015 Probability inequalities. Zbl 1221.60001Lin, Zhengyan; Bai, Zhidong 30 2010 The complete convergence for partial sums of i.i.d. random variables. Zbl 0554.60039Bai, Zhidong; Su, Chun 28 1985 Asymptotic properties of adaptive designs for clinical trials with delayed response. Zbl 1012.62087Bai, Z. D.; Hu, Feifang; Rosenberger, William F. 28 2002 Gaussian approximation theorems for urn models and their applications. Zbl 1014.60025Bai, Z. D.; Hu, Feifang; Zhang, Li-Xin 23 2002 Asymptotic theory of least distances estimate in multivariate linear models. Zbl 0714.62048Bai, Z. D.; Chen, X. R.; Miao, B. Q.; Rao, C. Radhakrishna 22 1990 On testing the equality of high dimensional mean vectors with unequal covariance matrices. Zbl 1396.62106Hu, Jiang; Bai, Zhidong; Wang, Chen; Wang, Wei 21 2017 Limiting behavior of the norm of products of random matrices and two problems of Geman-Hwang. Zbl 0586.60021Bai, Z. D.; Yin, Y. Q. 21 1986 On estimation of the population spectral distribution from a high-dimensional sample covariance matrix. Zbl 1373.62245Bai, Zhidong; Chen, Jiaqi; Yao, Jianfeng 20 2010 On detection of the number of signals when the noise covariance matrix is arbitrary. Zbl 0617.62056Zhao, L. C.; Krishnaiah, P. R.; Bai, Z. D. 20 1986 Convergence rates of spectral distributions of large sample covariance matrices. Zbl 1059.60036Bai, Z. D.; Miao, Baiqi; Yao, Jian-feng 19 2003 Testing the independence of sets of large-dimensional variables. Zbl 1256.62033Jiang, DanDan; Bai, ZhiDong; Zheng, ShuRong 18 2013 On rates of convergence of efficient detection criteria in signal processing with white noise. Zbl 0677.94001Bai, Zhi-Dong; Krishnaiah, Paruchuri R.; Zhao, Lin-Cheng 18 1989 Limiting behavior of \(M\)-estimators of regression coefficients in high dimensional linear models. I: Scale-dependent case. II: Scale-invariant case. Zbl 0816.62025Bai, Z. D.; Wu, Y. 18 1994 A review of 20 years of naive tests of significance for high-dimensional mean vectors and covariance matrices. Zbl 1360.62290Hu, Jiang; Bai, ZhiDong 17 2016 Limiting spectral distribution of a symmetrized auto-cross covariance matrix. Zbl 1296.60006Jin, Baisuo; Wang, Chen; Bai, Z. D.; Nair, K. Krishnan; Harding, Matthew 17 2014 CLT for linear spectral statistics of Wigner matrices. Zbl 1188.15032Bai, Zhidong; Wang, Xiaoying; Zhou, Wang 16 2009 Maxima in hypercubes. Zbl 1080.60007Bai, Zhi-Dong; Devroye, Luc; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi 16 2005 Convergence rates of the spectral distributions of large Wigner matrices. Zbl 0987.60050Bai, Z. D.; Miao, Baiqi; Tsay, Jhishen 16 2002 No eigenvalues outside the support of the limiting spectral distribution of information-plus-noise type matrices. Zbl 1248.15028Bai, Zhidong; Silverstein, Jack W. 15 2012 Estimation of spiked eigenvalues in spiked models. Zbl 1251.15037Bai, Zhidong; Ding, Xue 15 2012 An adaptive design for multi-arm clinical trials. Zbl 1011.62079Bai, Z. D.; Hu, Feifang; Shen, Liang 15 2002 Limiting behavior of the eigenvalues of a multivariate F matrix. Zbl 0531.62018Yin, Y. Q.; Bai, Z. D.; Krishnaiah, P. R. 14 1983 Testing linear hypotheses in high-dimensional regressions. Zbl 1440.62215Bai, Zhidong; Jiang, Dandan; Yao, Jian-Feng; Zheng, Shurong 14 2013 Consistency of AIC and BIC in estimating the number of significant components in high-dimensional principal component analysis. Zbl 1395.62119Bai, Zhidong; Choi, Kwok Pui; Fujikoshi, Yasunori 14 2018 Model selection with data-oriented penalty. Zbl 0926.62045Bai, Z. D.; Rao, C. R.; Wu, Y. 14 1999 An efficient algorithm for estimating the parameters of superimposed exponential signals. Zbl 1030.62062Bai, Z. D.; Rao, C. R.; Chow, M.; Kundu, D. 14 2003 General \(M\)-estimation. Zbl 0890.62050Bai, Z. D.; Wu, Y. 14 1997 Functional CLT for sample covariance matrices. Zbl 1210.60025Bai, Zhidong; Wang, Xiaoying; Zhou, Wang 13 2010 On the semicircular law of large-dimensional random quaternion matrices. Zbl 1353.60024Yin, Yanqing; Bai, Zhidong; Hu, Jiang 12 2016 On the limiting empirical distribution function of the eigenvalues of a multivariate F matrix. Zbl 0676.62021Bai, Z. D.; Yin, Y. Q.; Krishnaiah, P. R. 12 1987 Statistical analysis for rounded data. Zbl 1162.62012Bai, Zhidong; Zheng, Shurong; Zhang, Baoxue; Hu, Guorong 11 2009 Edgeworth expansion of a function of sample means. Zbl 0741.62016Bai, Z. D.; Rao, C. Radhakrishna 11 1991 On the theory of ranked-set sampling and its ramifications. Zbl 1008.62023Bai, Zhidong; Chen, Zehua 11 2003 Asymptotic normality of minimum \(L_ 1\)-norm estimates in linear models. Zbl 0728.62068Chen, Xiru; Bai, Zhidong; Zao, Lincheng; Wu, Yuehua 10 1990 On limit theorem for the eigenvalues of product of two random matrices. Zbl 1108.15022Bai, Z. D.; Miao, Baiqi; Jin, Baisuo 10 2007 Strong consistency of the information criterion for model selection in multivariate analysis. Zbl 0678.62064Nishii, Ryuei; Bai, Zhidong; Krishnaiah, Paruchuri R. 10 1988 Analysis of rounded data from dependent sequences. Zbl 1432.62065Zhang, Baoxue; Liu, Tianqing; Bai, Z. D. 10 2010 On limiting spectral distribution of product of two random matrices when the underlying distribution is isotropic. Zbl 0657.62058Bai, Z. D.; Yin, Y. Q.; Krishnaiah, P. R. 10 1986 A theorem of Feller revisited. Zbl 0669.60034Bai, Z. D. 10 1989 Normal approximations of the number of records in geometrically distributed random variables. Zbl 0961.60040Bai, Zhi-Dong; Hwang, Hsien-Kuei; Liang, Wen-Qi 10 1998 Mixtures of global and local Edgeworth expansions and their applications. Zbl 0864.62006Babu, Gutti Jogesh; Bai, Z. D. 9 1996 On the limit of extreme eigenvalues of large dimensional random quaternion matrices. Zbl 1331.15022Yin, Yanqing; Bai, Zhidong; Hu, Jiang 9 2014 On the variance of the number of maxima in random vectors and its applications. Zbl 0941.60021Bai, Zhi-Dong; Chao, Chern-Ching; Hwang, Hsien-Kuei; Liang, Wen-Qi 9 1998 A chi-square test for dimensionality with non-Gaussian data. Zbl 1032.62054Bai, Z. D.; He, Xuming 9 2004 Limit theorems for the number of maxima in random samples from planar regions. Zbl 0986.60007Bai, Zhi-Dong; Hwang, Hsien-Kuei; Liang, Wen-Qi; Tsai, Tsung-Hsi 9 2001 A note on the convergence rate of the spectral distributions of large random matrices. Zbl 0894.60034Bai, Z. D.; Miao, Baiqi; Tsay, Jhishen 9 1997 The exact and limiting distributions for the number of successes in success runs within a sequence of Markov-dependent two-state trials. Zbl 1067.60064Fu, James C.; Lou, W. Y. Wendy; Bai, Zhi-Dong; Li, Gang 8 2002 Limiting behavior of eigenvectors of large Wigner matrices. Zbl 1235.82035Bai, Z. D.; Pan, G. M. 8 2012 Inference on multiple correlation coefficients with moderately high dimensional data. Zbl 1336.62157Zheng, Shurong; Jiang, Dandan; Bai, Zhidong; He, Xuming 8 2014 Estimation of the population spectral distribution from a large dimensional sample covariance matrix. Zbl 1278.62079Li, Weiming; Chen, Jiaqi; Qin, Yingli; Bai, Zhidong; Yao, Jianfeng 8 2013 The optimal ranked-set sampling scheme for parametric families. Zbl 0972.62053Chen, Zehua; Bai, Zhidong 8 2000 An extension of the Hardy-Littlewood strong law. Zbl 1067.60501Bai, Zhidong; Cheng, Philip E.; Zhang, Cun-Hui 8 1997 Analysis of rounded data in mixture normal model. Zbl 1254.62023Zhao, Ningning; Bai, Zhidong 7 2012 Least absolute deviations analysis of variance. Zbl 0727.62073Bai, Z. D.; Radhakrishna Rao, C.; Yin, Y. Q. 7 1990 Asymptotic properties of eigenmatrices of a large sample covariance matrix. Zbl 1234.15013Bai, Z. D.; Liu, H. X.; Wong, W. K. 7 2011 CLT for eigenvalue statistics of large-dimensional general Fisher matrices with applications. Zbl 1375.60066Zheng, Shurong; Bai, Zhidong; Yao, Jianfeng 7 2017 Rooted edges of a minimal directed spanning tree on random points. Zbl 1094.60004Bai, Z. D.; Lee, Sungchul; Penrose, Mathew D. 7 2006 Convergence rates of the spectral distributions of large random quaternion self-dual Hermitian matrices. Zbl 1309.15055Yin, Yanqing; Bai, Zhidong 7 2014 On the maximum-likelihood estimator for the location parameter of a Cauchy distribution. Zbl 0624.62032Bai, Z. D.; Fu, J. C. 7 1987 Eigen-inference for energy estimation of multiple sources. Zbl 1366.62107Couillet, Romain; Silverstein, Jack W.; Bai, Zhidong; Debbah, Mérouane 7 2011 Rank regression for analysis of clustered data: a natural induced smoothing approach. Zbl 1464.62074Fu, Liya; Wang, You-Gan; Bai, Zhidong 6 2010 Convergence rates of eigenvector empirical spectral distribution of large dimensional sample covariance matrix. Zbl 1285.15018Xia, Ningning; Qin, Yingli; Bai, Zhidong 6 2013 Semicircle law for Hadamard products. Zbl 1139.15012Bai, Z. D.; Zhang, L. X. 6 2007 Convergence of the empirical spectral distribution function of beta matrices. Zbl 1319.60006Bai, Zhidong; Hu, Jiang; Pan, Guangming; Zhou, Wang 5 2015 The limiting spectral distribution of the product of the Wigner matrix and a nonnegative definite matrix. Zbl 1200.15020Bai, Z. D.; Zhang, L. X. 5 2010 Rounded data analysis based on ranked set sample. Zbl 1440.62086Li, Weiming; Liu, Tianqing; Bai, Zhidong 5 2012 Extreme eigenvalues of large dimensional quaternion sample covariance matrices. Zbl 1311.60036Li, Huiqin; Bai, Zhidong 5 2015 CLT for linear spectral statistics of large dimensional sample covariance matrices with dependent data. Zbl 1486.60048Zou, Tingting; Zheng, Shurong; Bai, Zhidong; Yao, Jianfeng; Zhu, Hongtu 1 2022 Generalized four moment theorem and an application to CLT for spiked eigenvalues of high-dimensional covariance matrices. Zbl 1475.60014Jiang, Dandan; Bai, Zhidong 5 2021 Partial generalized four moment theorem revisited. Zbl 1472.60010Jiang, Dandan; Bai, Zhidong 2 2021 Test on the linear combinations of covariance matrices in high-dimensional data. Zbl 1477.62139Bai, Zhidong; Hu, Jiang; Wang, Chen; Zhang, Chao 1 2021 Bayesian statistical inference based on rounded data. Zbl 07552566Zhao, Ningning; Bai, Zhidong 1 2020 Central limit theorem for linear spectral statistics of large dimensional separable sample covariance matrices. Zbl 1466.60008Bai, Zhidong; Li, Huiqin; Pan, Guangming 4 2019 Invariant test based on the modified correction to LRT for the equality of two high-dimensional covariance matrices. Zbl 1418.62242Zhang, Qiuyan; Hu, Jiang; Bai, Zhidong 2 2019 On LR simultaneous test of high-dimensional mean vector and covariance matrix under non-normality. Zbl 1407.62203Niu, Zhenzhen; Hu, Jiang; Bai, Zhidong; Gao, Wei 1 2019 Convergence rate of eigenvector empirical spectral distribution of large Wigner matrices. Zbl 1420.62235Xia, Ningning; Bai, Zhidong 1 2019 Consistency of AIC and BIC in estimating the number of significant components in high-dimensional principal component analysis. Zbl 1395.62119Bai, Zhidong; Choi, Kwok Pui; Fujikoshi, Yasunori 14 2018 Multi-sample test for high-dimensional covariance matrices. Zbl 07416439Zhang, Chao; Bai, Zhidong; Hu, Jiang; Wang, Chen 4 2018 Limiting behavior of eigenvalues in high-dimensional MANOVA via RMT. Zbl 1411.62130Bai, Zhidong; Choi, Kwok Pui; Fujikoshi, Yasunori 3 2018 Estimating the number of sources in magnetoencephalography using spiked population eigenvalues. Zbl 1398.62353Yao, Zhigang; Zhang, Ye; Bai, Zhidong; Eddy, William F. 2 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 1420.62291Bai, Zhidong; Pan, Guangming; Yin, Yanqing 2 2018 On testing the equality of high dimensional mean vectors with unequal covariance matrices. Zbl 1396.62106Hu, Jiang; Bai, Zhidong; Wang, Chen; Wang, Wei 21 2017 CLT for eigenvalue statistics of large-dimensional general Fisher matrices with applications. Zbl 1375.60066Zheng, Shurong; Bai, Zhidong; Yao, Jianfeng 7 2017 Test on the linear combinations of mean vectors in high-dimensional data. Zbl 1369.62122Li, Huiqin; Hu, Jiang; Bai, Zhidong; Yin, Yanqing; Zou, Kexin 3 2017 A new nonlinearity test to circumvent the limitation of Volterra expansion with application. Zbl 1390.62176Hui, 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 1360.62290Hu, Jiang; Bai, ZhiDong 17 2016 On the semicircular law of large-dimensional random quaternion matrices. Zbl 1353.60024Yin, Yanqing; Bai, Zhidong; Hu, Jiang 12 2016 Convergence of empirical spectral distributions of large dimensional quaternion sample covariance matrices. Zbl 1400.60007Li, Huiqin; Bai, Zhi Dong; Hu, Jiang 4 2016 Large sample covariance matrices and high-dimensional data analysis. Zbl 1380.62011Yao, Jianfeng; Zheng, Shurong; Bai, Zhidong 52 2015 Substitution principle for CLT of linear spectral statistics of high-dimensional sample covariance matrices with applications to hypothesis testing. Zbl 1312.62074Zheng, Shurong; Bai, Zhidong; Yao, Jianfeng 33 2015 Convergence of the empirical spectral distribution function of beta matrices. Zbl 1319.60006Bai, Zhidong; Hu, Jiang; Pan, Guangming; Zhou, Wang 5 2015 Extreme eigenvalues of large dimensional quaternion sample covariance matrices. Zbl 1311.60036Li, Huiqin; Bai, Zhidong 5 2015 Functional CLT of eigenvectors for large sample covariance matrices. Zbl 1309.15054Xia, Ningning; Bai, Zhidong 5 2015 A note on the limiting spectral distribution of a symmetrized auto-cross covariance matrix. Zbl 1333.60025Bai, Zhidong; Wang, Chen 4 2015 Stochastic dominance statistics for risk averters and risk seekers: an analysis of stock preferences for USA and China. Zbl 1398.62276Bai, Zhidong; Li, Hua; McAleer, Michael; Wong, Wing-Keung 4 2015 Strong limit of the extreme eigenvalues of a symmetrized auto-cross covariance matrix. Zbl 1328.60088Wang, 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 1312.15052Li, Huiqin; Bai, Zhidong 2 2015 Limiting spectral distribution of a symmetrized auto-cross covariance matrix. Zbl 1296.60006Jin, Baisuo; Wang, Chen; Bai, Z. D.; Nair, K. Krishnan; Harding, Matthew 17 2014 On the limit of extreme eigenvalues of large dimensional random quaternion matrices. Zbl 1331.15022Yin, Yanqing; Bai, Zhidong; Hu, Jiang 9 2014 Inference on multiple correlation coefficients with moderately high dimensional data. Zbl 1336.62157Zheng, Shurong; Jiang, Dandan; Bai, Zhidong; He, Xuming 8 2014 Convergence rates of the spectral distributions of large random quaternion self-dual Hermitian matrices. Zbl 1309.15055Yin, 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 1288.15046Bai, Zhidong; Fang, Zhaoben; Liang, Ying-Chang 2 2014 CLT for linear spectral statistics of a rescaled sample precision matrix. Zbl 1330.15045Zheng, Shurong; Bai, Zhidong; Yao, Jianfeng 2 2014 Testing the independence of sets of large-dimensional variables. Zbl 1256.62033Jiang, DanDan; Bai, ZhiDong; Zheng, ShuRong 18 2013 Testing linear hypotheses in high-dimensional regressions. Zbl 1440.62215Bai, Zhidong; Jiang, Dandan; Yao, Jian-Feng; Zheng, Shurong 14 2013 Estimation of the population spectral distribution from a large dimensional sample covariance matrix. Zbl 1278.62079Li, Weiming; Chen, Jiaqi; Qin, Yingli; Bai, Zhidong; Yao, Jianfeng 8 2013 Convergence rates of eigenvector empirical spectral distribution of large dimensional sample covariance matrix. Zbl 1285.15018Xia, Ningning; Qin, Yingli; Bai, Zhidong 6 2013 Asymptotic error bounds for kernel-based Nyström low-rank approximation matrices. Zbl 1349.62262Chang, Lo-Bin; Bai, Zhidong; Huang, Su-Yun; Hwang, Chii-Ruey 2 2013 Analysis of rounded data in measurement error regression. Zbl 1294.62034Zhao, Ningning; Bai, Z. D. 1 2013 On sample eigenvalues in a generalized spiked population model. Zbl 1301.62049Bai, Zhidong; Yao, Jianfeng 44 2012 No eigenvalues outside the support of the limiting spectral distribution of information-plus-noise type matrices. Zbl 1248.15028Bai, Zhidong; Silverstein, Jack W. 15 2012 Estimation of spiked eigenvalues in spiked models. Zbl 1251.15037Bai, Zhidong; Ding, Xue 15 2012 Limiting behavior of eigenvectors of large Wigner matrices. Zbl 1235.82035Bai, Z. D.; Pan, G. M. 8 2012 Analysis of rounded data in mixture normal model. Zbl 1254.62023Zhao, Ningning; Bai, Zhidong 7 2012 Rounded data analysis based on ranked set sample. Zbl 1440.62086Li, Weiming; Liu, Tianqing; Bai, Zhidong 5 2012 Convergence rates to the Marchenko-Pastur type distribution. Zbl 1234.60033Bai, Zhidong; Hu, Jiang; Zhou, Wang 3 2012 Asymptotic properties of eigenmatrices of a large sample covariance matrix. Zbl 1234.15013Bai, Z. D.; Liu, H. X.; Wong, W. K. 7 2011 Eigen-inference for energy estimation of multiple sources. Zbl 1366.62107Couillet, Romain; Silverstein, Jack W.; Bai, Zhidong; Debbah, Mérouane 7 2011 A note on rate of convergence in probability to semicircular law. Zbl 1244.60022Bai, Zhidong; Hu, Jiang; Pan, Guangming; Zhou, Wang 5 2011 Rounded data analysis based on multi-layer ranked set sampling. Zbl 1271.62118Li, Wei Ming; Bai, Zhi Dong 4 2011 The mean-variance ratio test – a complement to the coefficient of variation test and the Sharpe ratio test. Zbl 1219.62030Bai, Zhidong; Wang, Keyan; Wong, Wing-Keung 4 2011 Analysis of accumulated rounding errors in autoregressive processes. Zbl 1294.62182Li, Weiming; Bai, Z. D. 3 2011 Super efficient frequency estimation. Zbl 1213.62098Kundu, Debasis; Bai, Zhidong; Nandi, Swagata; Bai, Li 3 2011 Multivariate causality tests with simulation and application. Zbl 1219.62094Bai, Zhidong; Li, Heng; Wong, Wing-Keung; Zhang, Bingzhi 2 2011 Test statistics for prospect and Markowitz stochastic dominances with applications. Zbl 1219.91149Bai, Zhidong; Li, Hua; Liu, Huixia; Wong, Wing-Keung 2 2011 Spectral analysis of large dimensional random matrices. 2nd ed. Zbl 1301.60002Bai, Zhidong; Silverstein, Jack W. 346 2010 Probability inequalities. Zbl 1221.60001Lin, Zhengyan; Bai, Zhidong 30 2010 On estimation of the population spectral distribution from a high-dimensional sample covariance matrix. Zbl 1373.62245Bai, Zhidong; Chen, Jiaqi; Yao, Jianfeng 20 2010 Functional CLT for sample covariance matrices. Zbl 1210.60025Bai, Zhidong; Wang, Xiaoying; Zhou, Wang 13 2010 Analysis of rounded data from dependent sequences. Zbl 1432.62065Zhang, Baoxue; Liu, Tianqing; Bai, Z. D. 10 2010 Rank regression for analysis of clustered data: a natural induced smoothing approach. Zbl 1464.62074Fu, Liya; Wang, You-Gan; Bai, Zhidong 6 2010 The limiting spectral distribution of the product of the Wigner matrix and a nonnegative definite matrix. Zbl 1200.15020Bai, Z. D.; Zhang, L. X. 5 2010 Multivariate linear and nonlinear causality tests. Zbl 1201.62072Bai, Zhidong; Wong, Wing-Keung; Zhang, Bingzhi 5 2010 Revisit of Sheppard corrections in linear regression. Zbl 1207.62123Liu, TianQing; Zhang, BaoXue; Hu, GuoRong; Bai, ZhiDong 1 2010 Corrections to LRT on large-dimensional covariance matrix by RMT. Zbl 1360.62286Bai, Zhidong; Jiang, Dandan; Yao, Jian-Feng; Zheng, Shurong 103 2009 Enhancement of the applicability of Markowitz’s portfolio optimization by utilizing random matrix theory. Zbl 1185.91155Bai, Zhidong; Liu, Huixia; Wong, Wing-Keung 33 2009 CLT for linear spectral statistics of Wigner matrices. Zbl 1188.15032Bai, Zhidong; Wang, Xiaoying; Zhou, Wang 16 2009 Statistical analysis for rounded data. Zbl 1162.62012Bai, Zhidong; Zheng, Shurong; Zhang, Baoxue; Hu, Guorong 11 2009 Random matrix theory and its applications. Multivariate statistics and wireless communications. Zbl 1176.15001 3 2009 Central limit theorems for eigenvalues in a spiked population model. Zbl 1274.62129Bai, Zhidong; Yao, Jian-Feng 65 2008 Large sample covariance matrices without independence structures in columns. Zbl 1135.62009Bai, Zhidong; Zhou, Wang 51 2008 Statistical analysis for rounded data. Zbl 1269.62035Bai, Zhidong; Zheng, Shurong; Zhang, Baoxue; Hu, Guorong 2 2008 On constrained M-estimation and its recursive analog in multivariate linear regression models. Zbl 1135.62045Bai, Zhidong; Chen, Xiru; Wu, Yuehua 2 2008 On asymptotics of eigenvectors of large sample covariance matrix. Zbl 1162.15012Bai, Z. D.; Miao, B. Q.; Pan, G. M. 39 2007 On limit theorem for the eigenvalues of product of two random matrices. Zbl 1108.15022Bai, Z. D.; Miao, Baiqi; Jin, Baisuo 10 2007 Semicircle law for Hadamard products. Zbl 1139.15012Bai, Z. D.; Zhang, L. X. 6 2007 On the signal-to-interference ratio of CDMA systems in wireless communications. Zbl 1133.94012Bai, Z. D.; Silverstein, Jack W. 5 2007 Statistics with estimated parameters. Zbl 1128.62026Yang, Z. L.; Tse, Y. K.; Bai, Z. D. 3 2007 A generalized confidence interval for the difference of the means of two normal populations. Zbl 1133.62018Tao, Jian; Biswas, Atanu; Bai, Zhi-Dong 1 2007 Spectral analysis of large dimensional random matrices. Zbl 1196.60002Bai, Zhidong; Silverstein, Jack W. 77 2006 Rooted edges of a minimal directed spanning tree on random points. Zbl 1094.60004Bai, Z. D.; Lee, Sungchul; Penrose, Mathew D. 7 2006 Asymptotics in randomized urn models. Zbl 1059.62111Bai, Zhi-Dong; Hu, Feifang 45 2005 On the convergence of the spectral empirical process of Wigner matrices. Zbl 1101.60012Bai, Z. D.; Yao, J. 35 2005 Maxima in hypercubes. Zbl 1080.60007Bai, Zhi-Dong; Devroye, Luc; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi 16 2005 The broken sample problem. Zbl 1062.62041Bai, Zhidong; Hsing, Tailen 4 2005 CLT for linear spectral statistics of large-dimensional sample covariance matrices. Zbl 1063.60022Bai, Z. D.; Silverstein, Jack W. 164 2004 Ranked set sampling. Theory and applications. Zbl 1045.62007Chen, Zehua; Bai, Zhidong; Sinha, Bimal K. 88 2004 A chi-square test for dimensionality with non-Gaussian data. Zbl 1032.62054Bai, Z. D.; He, Xuming 9 2004 Convergence rates of spectral distributions of large sample covariance matrices. Zbl 1059.60036Bai, Z. D.; Miao, Baiqi; Yao, Jian-feng 19 2003 An efficient algorithm for estimating the parameters of superimposed exponential signals. Zbl 1030.62062Bai, Z. D.; Rao, C. R.; Chow, M.; Kundu, D. 14 2003 On the theory of ranked-set sampling and its ramifications. Zbl 1008.62023Bai, Zhidong; Chen, Zehua 11 2003 Berry-{E}sseen bounds for the number of maxima in planar regions. Zbl 1065.60020Bai, Zhi-Dong; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi 3 2003 Weighted \(W\) test for normality and asymptotics a revisit of Chen–Shapiro test for normality. Zbl 1026.62042Bai, Z. D.; Chen, Ling 3 2003 Convergence rate of the best-\(r\)-point-average estimator for the maximizer of a nonparametric regression function. Zbl 1140.62320Bai, Zhidong; Chen, Zehua; Wu, Yaohua 1 2003 Asymptotic properties of adaptive designs for clinical trials with delayed response. Zbl 1012.62087Bai, Z. D.; Hu, Feifang; Rosenberger, William F. 28 2002 Gaussian approximation theorems for urn models and their applications. Zbl 1014.60025Bai, Z. D.; Hu, Feifang; Zhang, Li-Xin 23 2002 Convergence rates of the spectral distributions of large Wigner matrices. Zbl 0987.60050Bai, Z. D.; Miao, Baiqi; Tsay, Jhishen 16 2002 ...and 85 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,330 Authors 99 Bai, Zhi-Dong 34 Pan, Guangming 33 Yao, Jianfeng 29 Bose, Arup 26 Zhou, Wang 25 Götze, Friedrich 25 Zheng, Shurong 23 Erdős, László 23 Hu, Jiang 22 Jiang, Tiefeng 21 Hu, Feifang 20 Silverstein, Jack W. 20 Tikhomirov, Alexander Nikolaevich 20 Zhang, Li-Xin 19 Aoshima, Makoto 19 Yata, Kazuyoshi 18 Vu, Van H. 17 Li, Weiming 17 Wu, Yuehua 16 Fujikoshi, Yasunori 15 Sung, Soohak 15 Wong, Wing-Keung 15 Yin, Yanqing 15 Zhao, Lincheng 14 Chen, Pingyan 14 Cui, Hengjian 14 O’Rourke, Sean D. 13 Bordenave, Charles 13 Péché, Sandrine 13 Zhang, Jinting 12 Chafaï, Djalil 12 El Karoui, Noureddine 12 Kundu, Debasis 12 Miao, Bai-qi 12 Soshnikov, Alexander B. 12 Wang, Xuejun 11 Bao, Zhigang 11 Bodnar, Taras 11 Couillet, Romain 11 Jiang, Dandan 11 Jin, Baisuo 11 Krüger, Torben 11 Najim, Jamal 11 Tao, Terence 10 Benaych-Georges, Florent 10 Guionnet, Alice 10 Jafari Jozani, Mohammad 10 Ledoit, Olivier 10 Modarres, Reza 10 Qi, Yongcheng 10 Tikhomirov, Konstantin E. 10 Yin, Jun 10 Zou, Changliang 9 Baik, Jinho 9 Capitaine, Mireille 9 Hachem, Walid 9 Heiny, Johannes 9 Li, Runze 9 Litvak, Aleksandr Evgen’evich 9 Rao, Calyampudi Radhakrishna 9 Renfrew, David 9 Rudelson, Mark 9 Saha, Koushik 9 Shen, Aiting 9 Vershynin, Roman 9 Wolf, Michael 9 Xie, Junshan 9 Zuo, Yijun 8 Adamczak, Radosław 8 Balakrishnan, Narayanaswamy 8 Basak, Anirban 8 Dette, Holger 8 Ding, Xue 8 Dobriban, Edgar 8 Feng, Long 8 Harrar, Solomon W. 8 Hazra, Rajat Subhra 8 Johnstone, Iain Murray 8 Lachos Dávila, Víctor Hugo 8 Lin, Zhengyan 8 Liu, Baisen 8 Lytova, Anna 8 Naumov, Alekseĭ Aleksandrovich 8 Nechita, Ion 8 Parolya, Nestor R. 8 Paul, Debashis 8 Rousseeuw, Peter J. 8 Tomczak-Jaegermann, Nicole 8 Wang, Chen 8 Wang, Cheng 8 Wu, Yaohua 8 Yau, Horng-Tzer 8 Zhu, Lixing 7 Chen, Songxi 7 Ding, Xiucai 7 Fan, Jianqing 7 Guo, Jia 7 He, Xuming 7 Hyodo, Masashi 7 Ishii, Aki ...and 2,230 more Authors all top 5 Cited in 290 Serials 191 Journal of Multivariate Analysis 135 The Annals of Statistics 90 Random Matrices: Theory and Applications 87 Journal of Statistical Planning and Inference 86 Statistics & Probability Letters 69 Communications in Statistics. 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