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A strong FKG inequality for multiple events

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arxiv 2305.02653 v1 pith:BYHYQP7X submitted 2023-05-04 math.PR math.CO

classification math.PRmath.CO
keywords inequalityeventsmultipleapplyassociatedcaseequalextension
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We give an extension of the FKG inequality to the case of multiple events with equal pairwise intersections. We then apply this inequality to resolve Kahn's question on positive associated (PA) measures.

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