Semi-Lévy processes, semi-selfsimilar additive processes, and semi-stationary Ornstein-Uhlenbeck type processes

Semi-Lévy processes, semi-selfsimilar additive processes, and semi-stationary Ornstein-Uhlenbeck type processes
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DOI:
10.1215/kjm/1250283698
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发表时间:
2003
影响因子:
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通讯作者:
M. Maejima;Ken-iti Sato
M. Maejima;Ken-iti Sato
中科院分区:
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文献类型:
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作者:
M. Maejima;Ken-iti Sato

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Wolfe[27],Jurek和Verva[6],Sato和Yamazato[20],[21],Sato[16],Jeanblc,Pitman和Yor[4]的工作结合在一起,证明了以下三类相互一一对应:自相似加性过程类,平稳Ornstein-Uhlenbeck型过程类,齐次独立散布随机过程类
The works of Wolfe [27], Jurek and Vervaat [6], Sato and Yamazato [20], [21], Sato [16], and Jeanblanc, Pitman, and Yor [4] combined show that the following three classes have one-one correspondence with each other — the class of selfsimilar additive processes, the class of stationary Ornstein-Uhlenbeck type processes, and the class of homogeneous independently scattered random