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A note on approximation to multifractional Brownian motion 被引量:4

A note on approximation to multifractional Brownian motion
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摘要 In this paper,we prove approximations of multifractional Brownian motions with moving-average representations and of those with harmonizable representations in the space of continuous functions on [0,1]. These approximations are constructed by Poisson processes. In this paper, we prove approximations of multifractional Brownian motions with moving-average representations and of those with harmonizable representations in the space of continuous functions on [0, 1]. These approximations are constructed by Poisson processes.
出处 《Science China Mathematics》 SCIE 2011年第10期2145-2154,共10页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant No. 10901054)
关键词 multifractional Brownian motion fractional Brownian motion Poisson process weak convergence 布朗运动 逼近 连续函数空间 移动平均线 泊松过程
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同被引文献38

  • 1JIANG YiMing,WANG YongJin.Self-intersection local times and collision local times of bifractional Brownian motions[J].Science China Mathematics,2009,52(9):1905-1919. 被引量:12
  • 2WU DongSheng,XIAO YiMin.Uniform dimension results for Gaussian random fields[J].Science China Mathematics,2009,52(7):1478-1496. 被引量:6
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  • 7Bojdecki T, Gorostiza L G, Talarczyk A. Some extensions of fractional Brownian motion and sub-fractional Brownian motion related to particle systems. Elect Comm Probab, 2007, 12: 161-172.
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