The FKG Inequality for Partially Ordered Algebras

Siddhartha Sahi ()
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Siddhartha Sahi: Rutgers University

Journal of Theoretical Probability, 2008, vol. 21, issue 2, 449-458

Abstract: Abstract The FKG inequality asserts that for a distributive lattice with log-supermodular probability measure, any two increasing functions are positively correlated. In this paper we extend this result to functions with values in partially ordered algebras, such as algebras of matrices and polynomials.

Keywords: FKG inequality; Distributive lattice; Ahlswede-Daykin inequality; Correlation inequality; Partially ordered algebras (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10959-007-0117-7

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