文章基本信息

标题：Stochastic Ordering of Infinite Binomial Galton-Watson Trees
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作者：Erik I. Broman
期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2014
卷号：XI
页码：209-227
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We consider Galton-Watson trees with Bin(d, p) offspring distribution.We let T∞(p) denote such a tree conditioned on being infinite. For d = 2, 3 andany 1/d ≤ p1 < p2 ≤ 1, we show that there exists a coupling between T∞(p1) andT∞(p2) such that P(T∞(p1) ⊆ T∞(p2)) = 1.
关键词：infinite Galton-Watson trees; stochastic ordering.