Perturbation analysis of the van den Berg Kesten inequality for determinantal probability measures

Franz Merkl; Silke W.W. Rolles

doi:10.1214/EJP.v18-2339

Perturbation analysis of the van den Berg Kesten inequality for determinantal probability measures

Franz Merkl
, Silke W.W. Rolles

Associate Professorship of Probability Theory

University of Munich

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Journal	Electronic Journal of Probability
Volume	18
DOIs	https://doi.org/10.1214/EJP.v18-2339
State	Published - 24 Oct 2013

Keywords

BK inequality
Determinantal probability measure
Negative association
Reimer's inequality

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10.1214/EJP.v18-2339

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title = "Perturbation analysis of the van den Berg Kesten inequality for determinantal probability measures",

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

keywords = "BK inequality, Determinantal probability measure, Negative association, Reimer's inequality",

author = "Franz Merkl and Rolles, \{Silke W.W.\}",

year = "2013",

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doi = "10.1214/EJP.v18-2339",

language = "English",

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AU - Rolles, Silke W.W.

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N2 - This paper describes a second order perturbation analysis of the BK property in the space of Hermitian determinantal probability measures around the subspace of product measures, showing that the second order Taylor approximation of the BK inequality holds for increasing events.

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

KW - BK inequality

KW - Determinantal probability measure

KW - Negative association

KW - Reimer's inequality

UR - https://www.scopus.com/pages/publications/84886643670

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DO - 10.1214/EJP.v18-2339

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VL - 18

JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

ER -

Perturbation analysis of the van den Berg Kesten inequality for determinantal probability measures

Abstract

Keywords

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