带移民超布朗运动的占位时中偏差  

MODERATE DEVIATION PRINCIPLES FOR THE OCCUPUATION TIME PROCESS OF A SUPER-BROWNIAN MOTION WITH IMMIGRATION

作　　者：张梅[1] 

机构地区：[1]北京师范大学数学科学学院,北京100875

出　　处：《数学年刊（A辑）》2005年第1期53-60,共8页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.10071008;No.10121101)教育部博士点学科(No.2000002710)基金资助项目.

摘　　要：本文证明了当底空间维数d≥3时,一类带移民超布朗运动占位时过程的中偏差,其移民由Lebesgue 测度控制.可以清楚地看出,中偏差的规范化因子和速度函数恰好介于中心极限定理和大偏差之间,在 这个意义下,中偏差填补了中心极限定理和大偏差之间的空白.Moderate deviation principles(MDPs) are proved for the occupation time process of a super Brownian motion with immigration,where the immigration is governed by the Lebesgue measure. The author can see that the norming and the speed function just very between those of the central limit theorem(CLT) and large deviation principle(LDP). In this sense, MDP fills the 'gap' between CLT and LDP.

关 键 词：大偏差 中偏差 带移民超布朗运动 占位时过程 

分 类 号：O171[理学—数学]