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Zbl 0698.60061
Pittel, B.
On a Daley-Kendall model of random rumours.
(English)
[J] J. Appl. Probab. 27, No.1, 14-27 (1990). ISSN 0021-9002

A population of N individuals, $N\to \infty$, is such that one member learns a rumour, starts telling it to other members who spread it. A knower becomes inactive once another knower is contacted. The number of eventual knowers is asymptotically normal with mean and variance linear in N, using a diffusion approximation argument.
[H.J.Weiner]
MSC 2000:
*60J25 Markov processes with continuous parameter
60J80 Branching processes

Keywords: spread of rumour; central limit theorem; diffusion approximation

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