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一类带马氏切换的扩散过程的大偏差速率函数

The rate function of large deviations for a class of diffusion processes with Markovian switching
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摘要 给出了{(Xε(t),Z(t));ε>0,t∈[0,T]}的大偏差速率函数。Xε(t)满足下面的随机微分方程:{dXε(t)=εσ(Xε(t))dB(t)+b(Xε(t),Z(t))dt,Xε(0)=x。{Z(t),t∈[0,T]}是n个状态的马氏链。 The explicit expression for the rate function of was given. X' (t) determined by is an n-state Markov process.
作者 马小翠
机构地区 济宁学院数学系
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2010年第11期100-103,共4页 Journal of Shandong University(Natural Science)
基金 山东省教育厅科技资助项目(J07WH03) 济宁学院科研资助项目(2008KJLX01)
关键词 马氏过程 大偏差 速率函数 Markov processes large deviations rate function
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