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A combinatorial approach to correlation inequalities

By Graham Brightwell and William T. Trotter

Abstract

In this paper, we initiate a combinatorial approach to proving correlation inequalities for finite partially ordered sets. A new proof is provided for the strong form of the XYZ theorem, due to Fishburn. We also use our method to give a new proof of a related correlation result of Shepp involving two sets of relations. Our arguments are entirely combinatorial in the sense that they do not make use of the Ahlswede/Daykin theorem or any of its relatives

Topics: QA Mathematics
Publisher: Elsevier
Year: 2002
DOI identifier: 10.1016/S0012-365X(02)00432-6
OAI identifier: oai:eprints.lse.ac.uk:18179
Provided by: LSE Research Online
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