paper

A Linear Programming Inequality with Applications to Concentration of Measure

arXiv:math/0610712

Abstract

We prove an elementary yet useful inequality bounding the maximal value of certain linear programs. This leads directly to a bound on the martingale difference for arbitrarily dependent random variables, providing a generalization of some recent concentration of measure results. The linear programming inequality may be of independent interest.

9 pages

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A Linear Programming Inequality with Applications to Concentration of Measure · wovepaper