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Best constant in the decoupling inequality for non-negative random variables
Journal article   Peer reviewed

Best constant in the decoupling inequality for non-negative random variables

Pawel Hitczenko
Statistics & probability letters, v 9(4), pp 327-329
1990

Abstract

decoupling inequality Non-negative random variables tangent sequences
A simple proof of the following inequality is given: ‖∑X k‖> p ⩽ 3p‖∑y k‖ p, p ⩾ 1 , where, for n ⩾ 1, X n and Y n are F n -measurable non-negative random variables with indentical conditional distributions, given F n−1 . Our proof gives the best possible order of constant.

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