Exact value for subgaussian norm of centered indicator random variable

Published 26 May 2014 in math.PR | (1405.6749v1)

Abstract: We calculate the exact subgaussian norm of a centered (shifted) indicator (Bernoulli's) random variable. Using this result we derive very simple tail estimates for sums of these variables, not necessary to be identical distributed, and give some examples to show the exactness of our estimates.

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