Limit distributions for the number of leaves in a random forest

被引：2

作者：

Mylläri, T ^{[1
]}

机构：

[1] Abo Akad Univ, Dept Math, FIN-20500 Turku, Finland

[2] Petrozavodsk State Univ, Petrozavodsk, Russia

来源：

ADVANCES IN APPLIED PROBABILITY | 2002年 / 34卷 / 04期

关键词：

conditioned Galton-Watson process; local limit theorem; normal disribution; offspring distribution; span; array scheme; Mukhin's theorem;

D O I：

10.1017/S0001867800011976

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：

Galton-Watson forests consisting of N roots (or trees) and n nonroot vertices are studied, The limit distributions of the number of leaves in such a forest are obtained. By a leaf we mean a vertex from which there are no arcs emanating.

引用

页码：904 / 922

页数：19

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