activity
20072022
most citedCorrections to LRT on Large Dimensional Covariance Matrix by RMT

185 citations · 363 across the 16 of their papers we have counts for

collaborators

16 papers

stat.ME2022

Adaptive Tests for Bandedness of High-dimensional Covariance Matrices

Xiaoyi Wang, Gongjun Xu, Shurong Zheng

Estimation of the high-dimensional banded covariance matrix is widely used in multivariate statistical analysis. To ensure the validity of estimation, we aim to test the hypothesis…

stat.ME2022★ 1 cited

On block-wise and reference panel-based estimators for genetic data prediction in high dimensions

Bingxin Zhao, Shurong Zheng, Hongtu Zhu

Genetic prediction of complex traits and diseases has attracted enormous attention in precision medicine, mainly because it has the potential to translate discoveries from genome-w…

stat.ME2020

Two-directional simultaneous inference for high-dimensional models

Wei Liu, Huazhen Lin, Jin Liu +1

This paper proposes a general two directional simultaneous inference (TOSI) framework for high-dimensional models with a manifest variable or latent variable structure, for example…

math.ST2020★ 1 cited

Asymptotic independence of spiked eigenvalues and linear spectral statistics for large sample covariance matrices

Zhixiang Zhang, Shurong Zheng, Guangming Pan +1

We consider general high-dimensional spiked sample covariance models and show that their leading sample spiked eigenvalues and their linear spectral statistics are asymptotically i…

stat.ME2019★ 24 cited

Estimating Number of Factors by Adjusted Eigenvalues Thresholding

Jianqing Fan, Jianhua Guo, Shurong Zheng

Determining the number of common factors is an important and practical topic in high dimensional factor models. The existing literatures are mainly based on the eigenvalues of the…

math.ST2019★ 4 cited

Community Detection Based on the convergence of eigenvectors in DCBM

Yan Liu, Zhiqiang Hou, Zhigang Yao +3

Spectral clustering is one of the most popular algorithms for community detection in network analysis. Based on this rationale, in this paper we give the convergence rate of eigenv…

math.ST2019★ 1 cited

Central limit theorem for linear spectral statistics of general separable sample covariance matrices with applications

Huiqin Li, Yanqing Yin, Shurong Zheng

In this paper, we consider the separable covariance model, which plays an important role in wireless communications and spatio-temporal statistics and describes a process where the…

math.PR2017★ 4 cited

CLT for linear spectral statistics of large dimensional sample covariance matrices with dependent data

Shurong Zheng, Zhidong Bai, Jianfeng Yao +1

This paper investigates the central limit theorem for linear spectral statistics of high dimensional sample covariance matrices of the form $\mathbf{B}_n=n^{-1}\sum_{j=1}^{n}\mathb…

stat.ME2017★ 98 cited

A New Test of Multivariate Nonlinear Causality

Zhidong Bai, Yongchang Hui, Zhihui Lv +3

The multivariate nonlinear Granger causality developed by Bai et al. (2010) plays an important role in detecting the dynamic interrelationships between two groups of variables. Fol…

math.ST2014★ 3 cited

CLT for large dimensional general Fisher matrices and its applications in high-dimensional data analysis

Shurong Zheng, Zhidong Bai, Jianfeng Yao

Random Fisher matrices arise naturally in multivariate statistical analysis and understanding the properties of its eigenvalues is of primary importance for many hypothesis testing…

stat.ME2014★ 2 cited

Substitution principle for CLT of linear spectral statistics of high-dimensional sample covariance matrices with applications to hypothesis testing

Shurong Zheng, Z. D. Bai, Jiangfeng Yao

Sample covariance matrices are widely used in multivariate statistical analysis. The central limit theorems (CLT's) for linear spectral statistics of high-dimensional non-centered…

math.ST2013★ 2 cited

CLT for linear spectral statistics of random matrix

Shurong Zheng, Zhidong Bai, Jianfeng Yao

This paper proposes a CLT for linear spectral statistics of random matrix for a general non-negative definite and {\bf non-random} Hermitian matrix .

math.ST2013★ 5 cited

A Note on Central Limit Theorems for Linear Spectral Statistics of Large Dimensional F-matrix

Shurong Zheng, Zhidong Bai

Sample covariance matrix and multivariate -matrix play important roles in multivariate statistical analysis. The central limit theorems {\sl (CLT)} of linear spectral statistics…

stat.ME2012★ 33 cited

Testing linear hypotheses in high-dimensional regressions

Z. Bai, D. Jiang, J. Yao +1

For a multivariate linear model, Wilk's likelihood ratio test (LRT) constitutes one of the cornerstone tools. However, the computation of its quantiles under the null or the altern…

math.ST2009★ 185 cited

Corrections to LRT on Large Dimensional Covariance Matrix by RMT

Zhidong Bai, Dandan Jiang, Jian-feng Yao +1

In this paper, we give an explanation to the failure of two likelihood ratio procedures for testing about covariance matrices from Gaussian populations when the dimension is large…

stat.ME2007

Variable Selection Incorporating Prior Constraint Information into Lasso

Shurong Zheng, Guodong Song, Ning-Zhong Shi

We propose the variable selection procedure incorporating prior constraint information into lasso. The proposed procedure combines the sample and prior information, and selects sig…