A Bernstein Inequality For Spatial Lattice Processes

Published 7 Feb 2017 in math.ST, math.PR, and stat.TH | (1702.02023v2)

Abstract: In this article we present a Bernstein inequality for sums of random variables which are defined on a spatial lattice structure. The inequality can be used to derive concentration inequalities. It can be useful to obtain consistency properties for nonparametric estimators of conditional expectation functions.

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