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20132026
most citedConvergence of Empirical Spectral Distributions of Large Dimensional Quaternion Sample Covariance Matrices

3 citations · 12 across the 7 of their papers we have counts for

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7 papers

math.ST2026★ 2 cited

Spectral Analysis of Gram Matrices with Missing at Random Observations: Convergence, Central Limit Theorems, and Applications in Statistical Inference

Huiqin Li, Guangming Pan, Yanqing Yin +1

Motivated by the statistical inference using the Gram matrix in the context of missing at random observations, this paper investigates the spectral properties of the random matrice…

math.ST2026

Limiting eigen-structure of spiked sample covariance matrices under missing observations

Haotian Cheng, Huiqin Li, Yanqing Yin +1

High-dimensional Principal Component Analysis (PCA) has become an essential tool in modern data analysis, offering dimensionality reduction and feature extraction. However, the pre…

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.PR2016★ 2 cited

Central limit theorem for linear spectral statistics of large dimensional separable sample covariance matrices

Bai Zhidong, Li Huiqin, Pan Guangming

Suppose that is whose elements are independent real variables with mean zero, variance 1 and the fourth moment equal to three. The separable samp…

math.PR2013★ 1 cited

Convergence Rates of Spectral Distribution of Large Dimensional Quaternion Sample Covariance Matrix

Huiqin LI, Zhidong Bai

In this paper, we study the convergence rates of empirical spectral distribution of large dimensional quaternion sample covariance matrix. Assume that the entries of …

math.PR2013★ 3 cited

Extreme Eigenvalues of Large Dimensional Quaternion Sample Covariance Matrix

Huiqin Li, Zhidong Bai

In this paper, we shall investigate the almost sure limits of the largest and smallest eigenvalues of a quaternion sample covariance matrix. Suppose that is a $p\time…

math.PR2013★ 3 cited

Convergence of Empirical Spectral Distributions of Large Dimensional Quaternion Sample Covariance Matrices

Huiqin Li, Zhidong Bai, Jiang Hu

In this paper we establish the limit of the empirical spectral distribution of quaternion sample covariance matrices. Suppose is a quat…