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

共 50 条

[1] Limit distributions of the number of vertices in the layers of a random forest
Cheplyukova, I.A.
Discrete Mathematics and Applications, 7 (05):
[2] Limit distributions of the number of trees of a given size in a random forest
Discrete Math Appl, 2 (117):
[3] LIMIT DISTRIBUTIONS OF THE HEIGHT OF A RANDOM FOREST
PAVLOV, YL
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1984, 28 (03) : 471 - 480
[4] Limit distributions of the number of vertices of a given out-degree in a random forest
Mylläri T.
Pavlov Yu.
Journal of Mathematical Sciences, 2006, 138 (1) : 5424 - 5433
[5] Limit distributions of the number of vertices of given degree in the forest of a random mapping with a given number of cycles
Pavlov, Yu. L.
Myllari, T. B.
DISCRETE MATHEMATICS AND APPLICATIONS, 2012, 22 (02): : 225 - 234
[6] DISTRIBUTIONS OF THE NUMBER OF VERTICES IN STRATA OF A RANDOM FOREST
PAVLOV, YL
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1988, 33 (01) : 96 - 104
[7] Limit distributions of the maximum size of a tree in a random forest
Pavlov, Yu.L.
Discrete Mathematics and Applications, 5 (04):
[8] Limit distributions of the number of loops in a random configuration graph
Yu. L. Pavlov
M. M. Stepanov
Proceedings of the Steklov Institute of Mathematics, 2013, 282 : 202 - 219
[9] Limit distributions for the number of particles in branching random walks
E. Vl. Bulinskaya
Mathematical Notes, 2011, 90 : 824 - 837
[10] Limit distributions of the number of loops in a random configuration graph
Pavlov, Yu. L.
Stepanov, M. M.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2013, 282 (01) : 202 - 219

← 1 2 3 4 5 →