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math.PR2023
Tracy-Widom distribution for the edge eigenvalues of elliptical model
Xiucai Ding, Jiahui Xie
In this paper, we study the largest eigenvalues of sample covariance matrices with elliptically distributed data. We consider the sample covariance matrix where the data…
math.PR2023
Spiked multiplicative random matrices and principal components
Xiucai Ding, Hong Chang Ji
In this paper, we study the eigenvalues and eigenvectors of the spiked invariant multiplicative models when the randomness is from Haar matrices. We establish the limits of the out…