| Full text | |
| Author(s): |
Lebensztayn, Elcio
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Campinas UNICAMP, Inst Math Stat & Sci Computat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 432, n. 1, p. 142-155, DEC 1 2015. |
| Web of Science Citations: | 3 |
| Abstract | |
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) | |
| FAPESP's process: | 12/22673-4 - Stochastic models for the spreading of rumours and epidemics |
| Grantee: | Elcio Lebensztayn |
| Support Opportunities: | Regular Research Grants |