t-Wise Independence with Local Dependencies

Details t-Wise Independence with Local Dependencies t-Wise Independence with Local Dependencies

2007-06-12

arxiv.org/abs/0706.1637v1

Mathematics

Probability

5 pages

Scientific paper

In this note we prove a large deviation bound on the sum of random variables with the following dependency structure: there is a dependency graph $G$ with a bounded chromatic number, in which each vertex represents a random variable. Variables that are represented by neighboring vertices may be arbitrarily dependent, but collections of variables that form an independent set in $G$ are $t$-wise independent.

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