Poisson limit for associated random fields

Research output: Contribution to journalArticle

Abstract

We prove that under an easily verifiable set of conditions a sequence of associated random fields converges under rescaling to the Poisson point process, and we give a few examples.

Original languageEnglish (US)
Pages (from-to)678-681
Number of pages4
JournalTheory of Probability and its Applications
Volume54
Issue number4
DOIs
StatePublished - 2010

Fingerprint

Poisson Point Process
Rescaling
Random Field
Siméon Denis Poisson
Converge
Random field
Point process

Keywords

  • Associated random variables
  • FKG inequality
  • Newman inequality
  • Poisson limit theorem

ASJC Scopus subject areas

  • Statistics, Probability and Uncertainty
  • Statistics and Probability

Cite this

Poisson limit for associated random fields. / Bakhtin, Yuri.

In: Theory of Probability and its Applications, Vol. 54, No. 4, 2010, p. 678-681.

Research output: Contribution to journalArticle

@article{f01d8a23a78840239192d23568b7bd24,
title = "Poisson limit for associated random fields",
abstract = "We prove that under an easily verifiable set of conditions a sequence of associated random fields converges under rescaling to the Poisson point process, and we give a few examples.",
keywords = "Associated random variables, FKG inequality, Newman inequality, Poisson limit theorem",
author = "Yuri Bakhtin",
year = "2010",
doi = "10.1137/S0040585X97984504",
language = "English (US)",
volume = "54",
pages = "678--681",
journal = "Theory of Probability and its Applications",
issn = "0040-585X",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "4",

}

TY - JOUR

T1 - Poisson limit for associated random fields

AU - Bakhtin, Yuri

PY - 2010

Y1 - 2010

N2 - We prove that under an easily verifiable set of conditions a sequence of associated random fields converges under rescaling to the Poisson point process, and we give a few examples.

AB - We prove that under an easily verifiable set of conditions a sequence of associated random fields converges under rescaling to the Poisson point process, and we give a few examples.

KW - Associated random variables

KW - FKG inequality

KW - Newman inequality

KW - Poisson limit theorem

UR - http://www.scopus.com/inward/record.url?scp=79952921053&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952921053&partnerID=8YFLogxK

U2 - 10.1137/S0040585X97984504

DO - 10.1137/S0040585X97984504

M3 - Article

VL - 54

SP - 678

EP - 681

JO - Theory of Probability and its Applications

JF - Theory of Probability and its Applications

SN - 0040-585X

IS - 4

ER -