Stochastic Ordering of Infinite Geometric Galton–Watson Trees

Erik I. Broman ()
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Erik I. Broman: Uppsala University

Journal of Theoretical Probability, 2016, vol. 29, issue 3, 1069-1082

Abstract: Abstract We consider Galton–Watson trees with Geom $$(p)$$ ( p ) offspring distribution. We let $$T_{\infty }(p)$$ T ∞ ( p ) denote such a tree conditioned on being infinite. We prove that for any $$1/2\le p_1

Keywords: Infinite Galton–Watson trees; Stochastic ordering; 60J80; 60K35; 82B43 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10959-015-0608-x

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