南方科技大学知识苑(SUSTech KC): A scaling limit of controlled branching processes

题名	A scaling limit of controlled branching processes
作者	Liu，Jiawei
发表日期	2024-05-01
DOI	10.1016/j.spl.2024.110081
发表期刊	Statistics and Probability Letters 影响因子和分区
ISSN	0167-7152
卷号	208
摘要	In this paper, a special sequence of controlled branching processes is considered. Using a martingale problem approach, we prove that under some mild conditions the limit of such processes is a kind of continuous branching process with dependent immigration constructed in Li (2019). The conditions are given in terms of probability generating functions and can be realized.
关键词	Galton–Watson processes Random controlled branching processes Scaling limit Tightness Weak convergence
相关链接	[Scopus记录]
收录类别	SCI
语种	英语
学校署名	第一
Scopus记录号	2-s2.0-85185606351
来源库	Scopus
引用统计
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/729078
专题	南方科技大学
作者单位	Southern University of Science and Technology,Shenzhen,Guangdong,518055,China
第一作者单位	南方科技大学
第一作者的第一单位	南方科技大学
推荐引用方式 GB/T 7714	Liu，Jiawei. A scaling limit of controlled branching processes[J]. Statistics and Probability Letters,2024,208.
APA	Liu，Jiawei.(2024).A scaling limit of controlled branching processes.Statistics and Probability Letters,208.
MLA	Liu，Jiawei."A scaling limit of controlled branching processes".Statistics and Probability Letters 208(2024).