The FKG Inequality for Partially Ordered Algebras
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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.
KeywordsFKG inequality Distributive lattice Ahlswede-Daykin inequality Correlation inequality Partially ordered algebras
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