LIMIT THEOREMS FOR A GENERAL STOCHASTIC RUMOUR MODEL
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
19/04/2012
19/04/2012
2011
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| Resumo |
We study a general stochastic rumour model in which an ignorant individual has a certain probability of becoming a stifler immediately upon hearing the rumour. We refer to this special kind of stifler as an uninterested individual. Our model also includes distinct rates for meetings between two spreaders in which both become stiflers or only one does, so that particular cases are the classical Daley-Kendall and Maki-Thompson models. We prove a Law of Large Numbers and a Central Limit Theorem for the proportions of those who ultimately remain ignorant and those who have heard the rumour but become uninterested in it. CNPq[311909/2009-4] CNPq[306927/2007-1] FAPESP[2009/18253-7] FAPESP[2010/06967-2] |
| Identificador |
SIAM JOURNAL ON APPLIED MATHEMATICS, v.71, n.4, p.1476-1486, 2011 0036-1399 http://producao.usp.br/handle/BDPI/16707 10.1137/100819588 |
| Idioma(s) |
eng |
| Publicador |
SIAM PUBLICATIONS |
| Relação |
Siam Journal on Applied Mathematics |
| Direitos |
openAccess Copyright SIAM PUBLICATIONS |
| Palavras-Chave | #stochastic rumour #Daley-Kendall #Maki-Thompson #limit theorems #Markov process #Mathematics, Applied |
| Tipo |
article original article publishedVersion |
