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Journal of Theoretical Probability

, Volume 21, Issue 2, pp 449–458 | Cite as

The FKG Inequality for Partially Ordered Algebras

  • Siddhartha Sahi
Article

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 

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA

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