Convergence of branching processes to the local time of a Bessel process

被引：0
作者：
Gittenberger, B [1 ]
机构：
[1] Vienna Tech Univ, Dept Discrete Math, A-1040 Vienna, Austria
来源：
RANDOM STRUCTURES & ALGORITHMS | 1998年 / 13卷 / 3-4期
关键词：
D O I：
10.1002/(SICI)1098-2418(199810/12)13:3/4<423::AID-RSA12>3.3.CO;2-2
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We study Galton-Watson branching processes conditioned on the total progeny to be n which are scaled by a sequence c(n) tending to infinity as o(root n). It is shown that this process weakly converges to the total local time of a two-sided three-dimensional Bessel process. This is done by means of characteristic functions and a generating function approach. (C) 1998 John Wiley & Sons, Inc.
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页码：423 / 438
页数：16
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