WEAKLY SUPERCRITICAL BRANCHING PROCESS IN A RANDOM ENVIRONMENT DYING AT A DISTANT MOMENT

被引:0
作者
Afanasyev, V. I. [1 ]
机构
[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia
基金
俄罗斯科学基金会;
关键词
weakly supercritical branching process in a random environment; conditional functional limit theorems; LIMIT-THEOREMS;
D O I
10.1137/S0040585X97T991611
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
A functional limit theorem is proved for a weakly supercritical branching process in a random environment under the condition that the process becomes extinct after time n -> infinity.
引用
收藏
页码:537 / 558
页数:22
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