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2010 Closure Properties and Negatively Associated Measures violating the van den Berg-Kesten Inequality
Klas Markström
Author Affiliations +
Electron. Commun. Probab. 15: 449-456 (2010). DOI: 10.1214/ECP.v15-1575

Abstract

We first give an example of a negatively associated measure which does not satisfy the van den Berg-Kesten inequality. Next we show that the class of measures satisfying the van den Berg-Kesten inequality is not closed under either of conditioning, introduction of external fields or convex combinations. Finally we show that this class also includes measure which have rank sequence which is not logconcave.

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Klas Markström. "Closure Properties and Negatively Associated Measures violating the van den Berg-Kesten Inequality." Electron. Commun. Probab. 15 449 - 456, 2010. https://doi.org/10.1214/ECP.v15-1575

Information

Accepted: 4 October 2010; Published: 2010
First available in Project Euclid: 6 June 2016

zbMATH: 1226.60010
MathSciNet: MR2726091
Digital Object Identifier: 10.1214/ECP.v15-1575

Subjects:
Primary: 60C

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