Bilateral tail estimate for distribution of self normalizes sums of independent centered random variables under natural norming

Published 22 Sep 2018 in math.PR | (1809.08477v1)

Abstract: We derive in this article the exact non-asymptotical exponential and power estimates for self-normalized sums of centered independent random variables (r.v.) under natural norming. We will use also the theory of the so-called Grand Lebesgue Spaces (GLS) of random variables.

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