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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

LIMIT THEOREMS FOR A GENERAL STOCHASTIC RUMOUR MODEL

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Author(s):
Lebensztayn, E. [1] ; Machado, F. P. [1] ; Rodriguez, P. M. [2]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo - Brazil
[2] Univ Estadual Campinas, Dept Stat, Inst Math Stat & Sci Computat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: SIAM JOURNAL ON APPLIED MATHEMATICS; v. 71, n. 4, p. 1476-1486, 2011.
Web of Science Citations: 15
Abstract

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. (AU)

FAPESP's process: 09/18253-7 - Stochastic modeling for population biology
Grantee:Fabio Prates Machado
Support type: Scholarships abroad - Research
FAPESP's process: 10/06967-2 - Random walk systems and their applications to models of information diffusion
Grantee:Pablo Martin Rodriguez
Support type: Scholarships in Brazil - Post-Doctorate