On a Daley-Kendall model of random rumours

On a Daley-Kendall model of random rumours

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Article ID: iaor1990639
Country: Israel
Volume: 27
Issue: 1
Start Page Number: 1
End Page Number: 7
Publication Date: Mar 1990
Journal: Journal of Applied Probability
Authors:
Abstract:

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.

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