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

[1] A Scaling Limit Theorem for Galton-Watson Processes in Varying Environments
Fang, Rongjuan
Li, Zenghu
Liu, Jiawei
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2022, 316 (01) : 137 - 159
[2] GALTON-WATSON PROCESSES IN VARYING ENVIRONMENTS
JAGERS, P
JOURNAL OF APPLIED PROBABILITY, 1974, 11 (01) : 174 - 178
[3] A LIMIT THEOREM FOR MULTIDIMENSIONAL GALTON-WATSON PROCESSES
KESTEN, H
STIGUM, BP
ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (05): : 1211 - &
[4] A Scaling Limit Theorem for Galton–Watson Processes in Varying Environments
Rongjuan Fang
Zenghu Li
Jiawei Liu
Proceedings of the Steklov Institute of Mathematics, 2022, 316 : 137 - 159
[5] REMARKS TO A LOCAL LIMIT THEOREM FOR GALTON-WATSON PROCESSES
IMAI, H
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1973, 25 (02) : 453 - 455
[6] On the scaling limits of Galton-Watson processes in varying environments
Bansaye, Vincent
Simatos, Florian
ELECTRONIC JOURNAL OF PROBABILITY, 2015, 20
[7] Limit Theorems for a Galton-Watson Process with Immigration in Varying Environments
Gao, Zhenlong
Zhang, Yanhua
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (04) : 1551 - 1573
[8] A limit theorem for discrete Galton-Watson branching processes with immigration
Li, ZH
JOURNAL OF APPLIED PROBABILITY, 2006, 43 (01) : 289 - 295
[9] WEAK CONVERGENCE OF GALTON-WATSON PROCESSES
DOUBLEDAY, WG
ADVANCES IN APPLIED PROBABILITY, 1975, 7 (02) : 250 - 251
[10] SOME PROPERTIES OF GALTON-WATSON BRANCHING PROCESSES IN VARYING ENVIRONMENTS
Yu Jinghu
Xu Fang
ACTA MATHEMATICA SCIENTIA, 2010, 30 (04) : 1105 - 1114

← 1 2 3 4 5 →