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Chinese Academy of Sciences Institutional Repositories Grid
Local times of additive Levy processes

文献类型:期刊论文

作者Khoshnevisan, D; Xiao, YM; Zhong, YQ
刊名STOCHASTIC PROCESSES AND THEIR APPLICATIONS
出版日期2003-04-01
卷号104期号:2页码:193-216
关键词additive and strictly stable Levy processes local times laws of the iterated logarithm local and uniform Holder estimates
ISSN号0304-4149
英文摘要Let X = {X(t); t is an element of R-+(N)} be an additive Levy process in R-d with X(t) = X-1 (t(1)) +...+ X-N(t(N)) For Allt is an element of R-+(N), where X-1,...,X-N are independent, classical Levy processes on R-d with Levy exponents Psi(1),..., Psi(N), respectively. Under mild regularity conditions on the Psi(i)'s, we derive moment estimates that imply joint continuity of the local times in question. These results are then refined to precise estimates for the local and uniform moduli of continuity of local times when all of the X-i's are strictly stable processes with the same index alpha is an element of (0, 2]. (C) 2002 Elsevier Science B.V. All rights reserved.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000181506300002
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/19058]  
专题中国科学院数学与系统科学研究院
通讯作者Xiao, YM
作者单位1.Univ Utah, Dept Math, Salt Lake City, UT 84112 USA
2.Michigan State Univ, Dept Stat & Probabil, E Lansing, MI 48824 USA
3.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714
Khoshnevisan, D,Xiao, YM,Zhong, YQ. Local times of additive Levy processes[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,2003,104(2):193-216.
APA Khoshnevisan, D,Xiao, YM,&Zhong, YQ.(2003).Local times of additive Levy processes.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,104(2),193-216.
MLA Khoshnevisan, D,et al."Local times of additive Levy processes".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 104.2(2003):193-216.

入库方式: OAI收割

来源:数学与系统科学研究院

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