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On a Daley-Kendall model of random rumours

Published online by Cambridge University Press:  14 July 2016

B. Pittel
B. Pittel*
Affiliation:
The Ohio State University
*
∗Postal address: Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA.
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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.

Keywords

SPREAD OF RUMOURSMARKOV PROCESSHARMONIC FUNCTIONSLIMIT THEOREMS
Type
Research Papers
Information
Journal of Applied Probability , Volume 27 , Issue 1 , March 1990 , pp. 14 - 27
Copyright
Copyright © Applied Probability Trust 1990 

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