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math.ST2024
Optimal Estimation of Parameters in Degree Corrected Mixed Membership Models
Stephen Jiang, Jianqing Fan
With the rise of big data, networks have pervaded many aspects of our daily lives, with applications ranging from the social to natural sciences. Understanding the latent structure…
math.ST2024
Tests for principal eigenvalues and eigenvectors
Jianqing Fan, Yingying Li, Ningning Xia +1
We establish central limit theorems for principal eigenvalues and eigenvectors under a large factor model setting, and develop two-sample tests of both principal eigenvalues and pr…
math.ST2023★ 1 cited
A Bootstrap Hypothesis Test for High-Dimensional Mean Vectors
Alexander Giessing, Jianqing Fan
This paper is concerned with testing global null hypotheses about population mean vectors of high-dimensional data. Current tests require either strong mixing (independence) condit…