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The Proportion of the Population Never Hearing a Rumour

Probability 2021-09-07 v1

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.

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Cite

@article{arxiv.2002.06821,
  title  = {The Proportion of the Population Never Hearing a Rumour},
  author = {Yuchen Duan and Ayalvadi Ganesh and University of Bristol},
  journal= {arXiv preprint arXiv:2002.06821},
  year   = {2021}
}

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8 pages