University of Cambridge > Talks.cam > Probability Theory and Statistics in High and Infinite Dimensions > Precise moment and tail estimates for Rademacher series in terms of weak parameters

Precise moment and tail estimates for Rademacher series in terms of weak parameters

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We establish a new deviation inequality for Rademacher sums and use it to obtain tight moment and tail bounds for Rademacher series in terms of weak parameters. In particular, we prove an asymptotic equality of the optimal constants in the Khinchine in Khinchine-Kahane inequalities.

This talk is part of the Probability Theory and Statistics in High and Infinite Dimensions series.

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