| Texto completo | |
| Autor(es): |
Lebensztayn, Elcio
[1]
Número total de Autores: 1
|
| Afiliação do(s) autor(es): | [1] Univ Campinas UNICAMP, Inst Math Stat & Sci Computat, BR-13083859 Campinas, SP - Brazil
Número total de Afiliações: 1
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Mathematical Analysis and Applications; v. 432, n. 1, p. 142-155, DEC 1 2015. |
| Citações Web of Science: | 3 |
| Resumo | |
We consider the stochastic model for the propagation of a rumour within a population which was formulated by Maki and Thompson {[}20]. Sudbury {[}22] established that, as the population size tends to infinity, the proportion of the population never hearing the rumour converges in probability to 0.2032. Watson {[}23] later derived the asymptotic normality of a suitably scaled version of this proportion. We prove a corresponding large deviations principle, with an explicit formula for the rate function. (C) 2015 Elsevier Inc. All rights reserved. (AU) | |
| Processo FAPESP: | 12/22673-4 - Modelos estocásticos para a propagação de rumores e epidemias |
| Beneficiário: | Elcio Lebensztayn |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |