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20112023
most citedA review of 20 years of naive tests of significance for high-dimensional mean vectors and covariance matrices

32 citations · 99 across the 26 of their papers we have counts for

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16 papers · 1 filter

math.ST2023

KOO approach for scalable variable selection problem in large-dimensional regression

Zhidong Bai, Kwok Pui Choi, Yasunori Fujikoshi +1

An important issue in many multivariate regression problems is to eliminate candidate predictors with null predictor vectors. In large-dimensional (LD) setting where the numbers of…

math.ST2022

A CLT for the LSS of large dimensional sample covariance matrices with diverging spikes

Zhijun Liu, Jiang Hu, Zhidong Bai +1

In this paper, we establish the central limit theorem (CLT) for linear spectral statistics (LSSs) of a large-dimensional sample covariance matrix when the population covariance mat…

math.ST2022★ 3 cited

Spectral Statistics of Sample Block Correlation Matrices

Zhigang Bao, Jiang Hu, Xiaocong Xu +1

A fundamental concept in multivariate statistics, sample correlation matrix, is often used to infer the correlation/dependence structure among random variables, when the population…

math.ST2022

A CLT for the LSS of large dimensional sample covariance matrices with unbounded dispersions

Zhijun Liu, Jiang Hu, Zhidong Bai +1

In this paper, we establish the central limit theorem (CLT) for linear spectral statistics (LSS) of large-dimensional sample covariance matrix when the population covariance matric…

math.ST2022

The limiting spectral distribution of large dimensional general information-plus-noise type matrices

Huanchao Zhou, Zhidong Bai, Jiang Hu

Let be random complex matrices, and be non-random complex matrices with dimensions and , respectively. We assume that…

math.ST2021

Spiked eigenvalues of noncentral Fisher matrix with applications

Xiaozhuo Zhang, Zhiqiang Hou, Zhidong Bai +1

In this paper, we investigate the asymptotic behavior of spiked eigenvalues of the noncentral Fisher matrix defined by , where ${\mat…