A Natural Extension of the BK Inequality

Published 8 May 2019 in math.CO and math.PR | (1905.02883v1)

Abstract: We extend the seminal van den Berg-Kesten Inequality on disjoint occurrence of two events to a setting with arbitrarily many events, where the quantity of interest is the maximum number that occur disjointly. This provides a handy tool for bounding upper tail probabilities for event counts in a product probability space.

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