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edited Feb 18, 2018 at 5:37

This was proven in

M. Talagrand. Sharper bounds for Gaussian and empirical processes. The Annals of Probability, pages 28–76, 1994.

This is mentioned in e.g. this paper (Section 1.1.2), which does a pretty good job (in my opinion) of summarizing the landscape.

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created Feb 18, 2018 at 3:46

This was proven in

M. Talagrand. Sharper bounds for Gaussian and empirical processes. The Annals of Probability, pages 28–76, 1994.

This is mentioned e.g. this paper (Section 1.1.2), which does a pretty good job (in my opinion) of summarizing the landscape.