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- W2920887600 abstract "We consider the properties of the bootstrap as a tool for inference concerning the eigenvalues of a sample covariance matrix computed from an n x p data matrix X. We focus on the modern framework where p/n is not close to 0 but remains bounded as n and p tend to infinity. Through a mix of numerical and theoretical considerations, we show that the non-parametric bootstrap is not in general a reliable inferential tool in the setting we consider. However, in the case where the population covariance matrix is well-approximated by a finite rank matrix, the non-parametric bootstrap performs as it does in finite dimension." @default.
- W2920887600 created "2019-03-22" @default.
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- W2920887600 date "2019-04-11" @default.
- W2920887600 modified "2023-09-26" @default.
- W2920887600 title "The non-parametric bootstrap and spectral analysis in moderate and high-dimension" @default.
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