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The Noisy Veto-Voter Model: A Recursive Distributional Equation on [0, 1]

Part of: Markov processes Distribution theory - Probability

Published online by Cambridge University Press:  14 July 2016

Saul Jacka  and
Marcus Sheehan
Saul Jacka*
Affiliation:
University of Warwick
Marcus Sheehan*
Affiliation:
University of Warwick
*
∗Postal address: Department of Statistics, University of Warwick, Coventry CV4 7AL, UK.
∗Postal address: Department of Statistics, University of Warwick, Coventry CV4 7AL, UK.
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Abstract

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We study a particular example of a recursive distributional equation (RDE) on the unit interval. We identify all invariant distributions, the corresponding ‘basins of attraction’, and address the issue of endogeny for the associated tree-indexed problem, making use of an extension of a recent result of Warren.

Keywords

Endogenyveto-voter modeldistributed error reportingbasin of attractionGalton-Watson branching process

MSC classification

Secondary: 60E05: Distributions 60E99: None of the above, but in this section 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Type
Research Article
Information
Journal of Applied Probability , Volume 45 , Issue 3 , September 2008 , pp. 670 - 688
Copyright
Copyright © Applied Probability Trust 2008 

References

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