Coupling any number of balls in the infinite-bin model

Ksenia Chernysh; Sanjay Ramassamy

doi:10.1017/jpr.2017.16

Coupling any number of balls in the infinite-bin model

Ksenia Chernysh, Sanjay Ramassamy

School of Mathematical & Computer Sciences

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

6 Citations (Scopus)

Abstract

The infinite-bin model, introduced by Foss and Konstantopoulos (2003), describes the Markovian evolution of configurations of balls placed inside bins, obeying certain transition rules. We prove that we can couple the behaviour of any finite number of balls, provided at least two different transition rules are allowed. This coupling makes it possible to define the regeneration events needed by Foss and Zachary (2013) to prove convergence results for the distribution of the balls.

Original language	English
Pages (from-to)	540-549
Number of pages	10
Journal	Journal of Applied Probability
Volume	54
Issue number	2
Early online date	22 Jun 2017
DOIs	https://doi.org/10.1017/jpr.2017.16
Publication status	Published - Jun 2017

Keywords

coupling
infinite-bin model
Markov chain

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Statistics, Probability and Uncertainty

Access to Document

10.1017/jpr.2017.16

Cite this

@article{1a0db783d8c24341b8a7619b1a9c5213,

title = "Coupling any number of balls in the infinite-bin model",

abstract = "The infinite-bin model, introduced by Foss and Konstantopoulos (2003), describes the Markovian evolution of configurations of balls placed inside bins, obeying certain transition rules. We prove that we can couple the behaviour of any finite number of balls, provided at least two different transition rules are allowed. This coupling makes it possible to define the regeneration events needed by Foss and Zachary (2013) to prove convergence results for the distribution of the balls.",

keywords = "coupling, infinite-bin model, Markov chain",

author = "Ksenia Chernysh and Sanjay Ramassamy",

year = "2017",

month = jun,

doi = "10.1017/jpr.2017.16",

language = "English",

volume = "54",

pages = "540--549",

journal = "Journal of Applied Probability",

issn = "0021-9002",

publisher = "University of Sheffield",

number = "2",

}

TY - JOUR

T1 - Coupling any number of balls in the infinite-bin model

AU - Chernysh, Ksenia

AU - Ramassamy, Sanjay

PY - 2017/6

Y1 - 2017/6

N2 - The infinite-bin model, introduced by Foss and Konstantopoulos (2003), describes the Markovian evolution of configurations of balls placed inside bins, obeying certain transition rules. We prove that we can couple the behaviour of any finite number of balls, provided at least two different transition rules are allowed. This coupling makes it possible to define the regeneration events needed by Foss and Zachary (2013) to prove convergence results for the distribution of the balls.

AB - The infinite-bin model, introduced by Foss and Konstantopoulos (2003), describes the Markovian evolution of configurations of balls placed inside bins, obeying certain transition rules. We prove that we can couple the behaviour of any finite number of balls, provided at least two different transition rules are allowed. This coupling makes it possible to define the regeneration events needed by Foss and Zachary (2013) to prove convergence results for the distribution of the balls.

KW - coupling

KW - infinite-bin model

KW - Markov chain

UR - http://www.scopus.com/inward/record.url?scp=85021167353&partnerID=8YFLogxK

U2 - 10.1017/jpr.2017.16

DO - 10.1017/jpr.2017.16

M3 - Article

AN - SCOPUS:85021167353

SN - 0021-9002

VL - 54

SP - 540

EP - 549

JO - Journal of Applied Probability

JF - Journal of Applied Probability

IS - 2

ER -

Coupling any number of balls in the infinite-bin model

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this