A Weak Limit Theorem for Galton-Watson Processes in Varying Environments

被引：0

作者：

Gao, Zhenlong ^{[1
]}

Zhang, Yanhua ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

关键词：

BRANCHING-PROCESSES; EXTINCTION;

D O I：

10.1155/2014/364372

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend Donsker's theorem and the central limit theorem of classical Galton-Watson process to the Galton-Watson processes in varying environment.

引用

页数：4

共 50 条

[21] Defective Galton-Watson processes in a varying environment
Kersting, Goetz
Minuesa, Carmen
BERNOULLI, 2022, 28 (02) : 1408 - 1431
[22] NOTES ON A LOCAL LIMIT THEOREM FOR DISCRETE TIME GALTON-WATSON BRANCHING PROCESSES
IMAI, H
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1968, 20 (03) : 391 - &
[23] A STRONG LAW AND A CENTRAL-LIMIT-THEOREM FOR CONTROLLED GALTON-WATSON PROCESSES
VIAUD, DPL
JOURNAL OF APPLIED PROBABILITY, 1994, 31 (01) : 22 - 37
[24] A limit theorem of two-type Galton-Watson branching processes with immigration
Ma, Chunhua
STATISTICS & PROBABILITY LETTERS, 2009, 79 (15) : 1710 - 1716
[25] ON A LIMIT STRUCTURE OF THE GALTON-WATSON BRANCHING PROCESSES WITH REGULARLY VARYING GENERATING FUNCTIONS
Imomov, Azam A.
PROBABILITY AND MATHEMATICAL STATISTICS-POLAND, 2019, 39 (01): : 61 - 73
[26] Bisexual Galton-Watson branching process in varying environments
Molina, M
Mota, M
Ramos, A
STOCHASTIC ANALYSIS AND APPLICATIONS, 2003, 21 (06) : 1353 - 1367
[27] THE RATES OF GROWTH OF THE GALTON-WATSON PROCESS IN VARYING ENVIRONMENTS
DSOUZA, JC
ADVANCES IN APPLIED PROBABILITY, 1994, 26 (03) : 698 - 714
[28] THE COALESCENT STRUCTURE OF GALTON-WATSON TREES IN VARYING ENVIRONMENTS
Harris, Simon c.
Palau, Sandra
Pardo, Juan carlos
ANNALS OF APPLIED PROBABILITY, 2024, 34 (06): : 5388 - 5425
[29] A THEOREM ON GALTON-WATSON PROCESS
STIGUM, BP
ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (03): : 695 - &
[30] Limit theorems for the critical Galton-Watson processes with migration
Badalbaev, IS
Yakubov, TD
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1996, 40 (04) : 599 - 612

← 1 2 3 4 5 →