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On a Daley-Kendall Model of Random Rumours
Journal of Applied Probability
Vol. 27, No. 1 (Mar., 1990), pp. 14-27
Published by: Applied Probability Trust
Stable URL: http://www.jstor.org/stable/3214592
Page Count: 14
You can always find the topics here!Topics: Rumors, Epidemics, Line segments, Markov processes, Harmonic functions, Mathematical theorems, Mathematical lattices, Approximation, Disease models, Random walk
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Suppose that a certain population consists of N individuals. One member initially learns a rumour from an outside source, and starts telling it to other members, who continue spreading the information. A knower becomes inactive once he encounters somebody already informed. Daley and Kendall, who initiated the study of this model, conjectured that the number of eventual knowers is asymptotically normal with mean and variance linear in N. Our purpose is to confirm this conjecture.
Journal of Applied Probability © 1990 Applied Probability Trust