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Stochastic Ordering of Infinite Geometric Galton-Watson Trees
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
2016 (English)In: Journal of theoretical probability, ISSN 0894-9840, E-ISSN 1572-9230, Vol. 29, no 3, p. 1069-1082Article in journal (Refereed) Published
Abstract [en]

We consider Galton-Watson trees with Geom(p) offspring distribution. We let T-infinity (p) denote such a tree conditioned on being infinite. We prove that for any 1/2 <= p(1) <= p2 <= 1, 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
2016. Vol. 29, no 3, p. 1069-1082
Keyword [en]
Infinite Galton-Watson trees, Stochastic ordering
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:uu:diva-305553DOI: 10.1007/s10959-015-0608-xISI: 000382146500016OAI: oai:DiVA.org:uu-305553DiVA, id: diva2:1038827
Funder
Swedish Research Council
Available from: 2016-10-20 Created: 2016-10-19 Last updated: 2017-11-29Bibliographically approved

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