A strong FKG inequality for multiple events

2023/05/04 by Nikita Gladkov, Gladkov, Nikita · 2 citations
Economics, Econometrics and Finance · Mathematics · #05A20 (Primary) 06A07 #60C05 (Secondary) #Advanced Banach Space Theory #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Probability (math.PR) #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2305.02653

openalex publication_date 2023/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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