On the weak convergence of super-Brownian motion with immigration
On the weak convergence of super-Brownian motion with immigration作者机构:School of Mathematical Sciences Beijing Normal University Beijing China
出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期:2009年第52卷第9期
页 面:1875-1886页
核心收录:
学科分类:02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学(可授理学、经济学学位)] 070103[理学-概率论与数理统计] 0701[理学-数学]
基 金:supported by National Natural Science Foundation of China (Grant No.10721091)
主 题:super-Brownian motion with immigration occupation time process central limit theorem tightness 60J80 60F05
摘 要:We prove fluctuation limit theorems for the occupation times of super-Brownian motion with immigration. The weak convergence of the processes is established, which improves the results in references. The limiting processes are Gaussian processes.