Coupling any number of balls in the infinite-bin model

Ksenia Chernysh, Sanjay Ramassamy

Research output: Contribution to journalArticle

2 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 languageEnglish
Pages (from-to)540-549
Number of pages10
JournalJournal of Applied Probability
Volume54
Issue number2
Early online date22 Jun 2017
DOIs
Publication statusPublished - Jun 2017

Keywords

  • coupling
  • infinite-bin model
  • Markov chain

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Statistics, Probability and Uncertainty

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