The proportion of the population never hearing a rumour

Yuchen Duan; A J Ganesh

doi:10.48550/arXiv.2002.06821

The proportion of the population never hearing a rumour

Yuchen Duan, A J Ganesh^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

3 Citations (Scopus)

Abstract

Sudbury (J Appl Prob 22:443–446, 1985) showed for the Maki–Thompson model of rumour spreading that the proportion of the population never hearing the rumour converges in probability to a limiting constant (approximately equal to 0.203) as the population size tends to infinity. We extend the analysis to a generalisation of the Maki–Thompson model.

Original language	English
Journal	Queueing Systems
Volume	99
Early online date	3 Sept 2021
DOIs	https://doi.org/10.48550/arXiv.2002.06821 https://doi.org/10.1007/s11134-021-09714-x
Publication status	Published - 1 Dec 2021

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title = "The proportion of the population never hearing a rumour",

abstract = "Sudbury (J Appl Prob 22:443–446, 1985) showed for the Maki–Thompson model of rumour spreading that the proportion of the population never hearing the rumour converges in probability to a limiting constant (approximately equal to 0.203) as the population size tends to infinity. We extend the analysis to a generalisation of the Maki–Thompson model.",

author = "Yuchen Duan and Ganesh, {A J}",

year = "2021",

month = dec,

day = "1",

doi = "10.48550/arXiv.2002.06821",

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T1 - The proportion of the population never hearing a rumour

AU - Duan, Yuchen

AU - Ganesh, A J

PY - 2021/12/1

Y1 - 2021/12/1

N2 - Sudbury (J Appl Prob 22:443–446, 1985) showed for the Maki–Thompson model of rumour spreading that the proportion of the population never hearing the rumour converges in probability to a limiting constant (approximately equal to 0.203) as the population size tends to infinity. We extend the analysis to a generalisation of the Maki–Thompson model.

AB - Sudbury (J Appl Prob 22:443–446, 1985) showed for the Maki–Thompson model of rumour spreading that the proportion of the population never hearing the rumour converges in probability to a limiting constant (approximately equal to 0.203) as the population size tends to infinity. We extend the analysis to a generalisation of the Maki–Thompson model.

U2 - 10.48550/arXiv.2002.06821

DO - 10.48550/arXiv.2002.06821

M3 - Article (Academic Journal)

SN - 0257-0130

VL - 99

JO - Queueing Systems

JF - Queueing Systems

ER -

The proportion of the population never hearing a rumour

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