Miles E. Lopes

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20112023

most citedA More Powerful Two-Sample Test in High Dimensions using Random Projection

49 citations · 103 across the 19 of their papers we have counts for

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2 papers · 1 filter

math.ST2022

A Bootstrap Method for Spectral Statistics in High-Dimensional Elliptical Models

Siyao Wang, Miles E. Lopes

Although there is an extensive literature on the eigenvalues of high-dimensional sample covariance matrices, much of it is specialized to independent components (IC) models -- in w…

math.ST2022

Improved Rates of Bootstrap Approximation for the Operator Norm: A Coordinate-Free Approach

Miles E. Lopes

Let $Σ^= \frac{1}{n} \sum_{i = 1}^{n} X_{i} \otimes X_{i}$ denote the sample covariance operator of centered i.i.d.~observations $X_{1}, \dots, X_{n}$ in a real separable Hilbert space, and let…