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AN ESTIMATE ON THE DISTRIBUTION AND MOMENTS OF THE LAST EXIT TIME OF AN ELLIPTIC DIFFUSION PROCESS
作者姓名:李波  刘禄勤
作者单位:School of Mathematics and Statistics Huazhong Normal University Wuhan 430079,China School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China,School of Mathematics and Statistics Wuhan University,Wuhan 430072,China
基金项目:Research supported in part by Tianyuan Fund ofr Mathematics of NSFC (10526021),A Grant from Ministry of Education
摘    要:Let LB be the last exit time from a compact set B of an elliptic diffusion process X. A moderate estimate for the distribution of LB is obtained, and the sufficient and necessary condition for Ex(LBk)<∞is proved.

关 键 词:力矩  短暂  分布  扩散进程  必要条件
收稿时间:2004-08-14

AN ESTIMATE ON THE DISTRIBUTION AND MOMENTS OF THE LAST EXIT TIME OF AN ELLIPTIC DIFFUSION PROCESS
Bo Li,Luqin Liu.AN ESTIMATE ON THE DISTRIBUTION AND MOMENTS OF THE LAST EXIT TIME OF AN ELLIPTIC DIFFUSION PROCESS[J].Acta Mathematica Scientia,2006,26(4):639-645.
Authors:Bo Li  Luqin Liu
Institution:

aSchool of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079, China

bSchool of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

cSchool of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Abstract:Let LB be the last exit time from a compact set B of an elliptic diffusion process X. A moderate estimate for the distribution of LB is obtained, and the sufficient and necessary condition for Ex (LkB) <∞ is proved.
Keywords:Last exit time  moment  transience  distribution  diffusion process
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