LIMIT THEOREMS FOR A GENERAL STOCHASTIC RUMOUR MODEL

Autor(es)

Lebensztayn, E. ^[1] ; Machado, F. P. ^[1] ; Rodriguez, P. M. ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: SIAM JOURNAL ON APPLIED MATHEMATICS; v. 71, n. 4, p. 1476-1486, 2011.
• Citações Web of Science: 14

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. (AU)

• Processo FAPESP: 09/18253-7 - Modelagem estocástica de população biológica
• Beneficiário: Fabio Prates Machado
• Linha de fomento: Bolsas no Exterior - Pesquisa
• Processo FAPESP: 10/06967-2 - Modelos de sistemas de passeios aleatórios e aplicações na difusão de uma informação
• Beneficiário: Pablo Martin Rodriguez
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado