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On the size of a rumour

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  • Watson, Ray

Abstract

Two rumour models are considered, the first due to Daley and Kendall (1965) and the second due to Maki and Thompson (1973). The size of a rumour, defined as the number of individuals in the population eventually hearing the rumour, is investigated using both deterministic and stochastic approximations, and some asymptotic distributional results for the size distribution for the two models are obtained and compared.

Suggested Citation

  • Watson, Ray, 1987. "On the size of a rumour," Stochastic Processes and their Applications, Elsevier, vol. 27, pages 141-149.
    • Handle: RePEc:eee:spapps:v:27:y:1987:i::p:141-149
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    Cited by:

    1. Yu, Shuzhen & Yu, Zhiyong & Jiang, Haijun, 2024. "A rumor propagation model in multilingual environment with time and state dependent impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Selma Belen & Erik Kropat & Gerhard-Wilhelm Weber, 2011. "On the classical Maki–Thompson rumour model in continuous time," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(1), pages 1-17, March.

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