Bide - Side Exponential and Moment Inequalities for Tails of Distributions of Polynomial Martingales

Details Bide - Side Exponential and Moment Inequalities for Tails of Distributions of Polynomial Martingales Bide - Side Exponential and Moment Inequalities for Tails of Distributions of Polynomial Martingales

2004-06-25

arxiv.org/abs/math/0406532v1

Mathematics

Probability

Scientific paper

In this paper non-asymptotic exponential estimates are derived for the tail distribution of polynomial martingale differences in terms unconditional tails distributions of summands. Applications are considered in the theory of polynomials on independent random variables, to the theory of U-statistics, multiply martingale series and in the theory of weak compactness measures on the Banach spaces. Partially supported by the Israel Ministry of Absorbtion Mathematics Subject Classification (2000): 47A45, 47B10, 60F10, 60G42.

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