The Proportion of the Population Never Hearing a Rumour

Yuchen Duan, Ayalvadi Ganesh, University of Bristol

Published: February 17, 2020PDF arXiv

Abstract

Sudbury (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.

The Proportion of the Population Never Hearing a Rumour

Yuchen Duan, Ayalvadi Ganesh, University of Bristol

math.PR

Published: February 17, 2020PDF arXiv

Abstract

Sudbury (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.