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2013 Perturbation analysis of the van den Berg Kesten inequality for determinantal probability measures
Franz Merkl, Silke Rolles
Author Affiliations +
Electron. J. Probab. 18: 1-20 (2013). DOI: 10.1214/EJP.v18-2339

Abstract

This paper describes a second order perturbation analysis of the BK property in the space of Hermitean determinantal probability measures around the subspace of product measures, showing that the second order Taylor approximation of the BK inequality holds for increasing events.

Citation

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Franz Merkl. Silke Rolles. "Perturbation analysis of the van den Berg Kesten inequality for determinantal probability measures." Electron. J. Probab. 18 1 - 20, 2013. https://doi.org/10.1214/EJP.v18-2339

Information

Accepted: 24 October 2013; Published: 2013
First available in Project Euclid: 4 June 2016

zbMATH: 1286.60010
MathSciNet: MR3126575
Digital Object Identifier: 10.1214/EJP.v18-2339

Subjects:
Primary: 60C05
Secondary: 60K35

Keywords: BK inequality , determinantal probability measure , negative association , Reimer's inequality

Vol.18 • 2013
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