Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81866
Type: Artigo de periódico
Title: On the behaviour of a rumour process with random stifling
Author: Lebensztayn, E
Machado, FP
Rodriguez, PM
Abstract: We propose a realistic generalization of the Maki-Thompson rumour model by assuming that each spreader ceases to propagate the rumour right after being involved in a random number of stifling experiences. We consider the process with a general initial configuration and establish the asymptotic behaviour (and its fluctuation) of the ultimate proportion of ignorants as the population size grows to infinity. Our approach leads to explicit formulas so that the limiting proportion of ignorants and its variance can be computed. (C) 2010 Elsevier Ltd. All rights reserved.
Subject: Stochastic rumour
Maki-Thompson
Markov chain
Limit theorems
Country: Inglaterra
Editor: Elsevier Sci Ltd
Rights: fechado
Identifier DOI: 10.1016/j.envsoft.2010.10.015
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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