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Stochastic Ordering of Infinite Binomial Galton-Watson Trees
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Latin American Journal of Probability and Mathematical Statistics, ISSN 1980-0436, E-ISSN 1980-0436, Vol. 11, no 1, 209-227 p.Article in journal (Refereed) Published
Abstract [en]

We consider Galton-Watson trees with Bin(d, p) offspring distribution. We let T-infinity(p) denote such a tree conditioned on being infinite. For d = 2, 3 and any 1/d <= p(1) < p(2) <= 1, we show that there exists a coupling between T-infinity(p(1)) and T-infinity(p(2)) such that P(T-infinity(p(1)) subset of T-infinity(p(2))) = 1.

Place, publisher, year, edition, pages
2014. Vol. 11, no 1, 209-227 p.
Keyword [en]
infinite Galton-Watson trees, stochastic ordering
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-244608ISI: 000348190500007OAI: oai:DiVA.org:uu-244608DiVA: diva2:793277
Available from: 2015-03-06 Created: 2015-02-18 Last updated: 2017-12-04Bibliographically approved

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Broman, Erik I.

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