| 带移民超布朗运动的占位时中偏差 |
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| 引用本文： | 张梅. 带移民超布朗运动的占位时中偏差[J]. 数学年刊A辑(中文版), 2005, 0(1) |
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| 作者姓名： | 张梅 |
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| 作者单位： | 北京师范大学数学科学学院 北京 |
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| 基金项目： | 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. |
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| 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.
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| 关 键 词： | 大偏差 中偏差 带移民超布朗运动 占位时过程 |
MODERATE DEVIATION PRINCIPLES FOR THE OCCUPUATION TIME PROCESS OF A SUPER-BROWNIAN MOTION WITH IMMIGRATION |
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| ZHANG MeiSchool of Mathematical Science,Beijing Normal University,Beijing ,China.. MODERATE DEVIATION PRINCIPLES FOR THE OCCUPUATION TIME PROCESS OF A SUPER-BROWNIAN MOTION WITH IMMIGRATION[J]. Chinese Annals of Mathematics, 2005, 0(1) |
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| Authors: | ZHANG MeiSchool of Mathematical Science Beijing Normal University Beijing China. |
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| Affiliation: | ZHANG MeiSchool of Mathematical Science,Beijing Normal University,Beijing 100875,China. |
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| Abstract: | 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. |
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| Keywords: | Large deviation principle Moderate deviation principle Super-Brownian motion with immigration Occupation time process |
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