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  • 标题:A property of Petrov's diffusion
  • 本地全文:下载
  • 作者:Ethier, Stewart N.
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2014
  • 卷号:19
  • 页码:1-4
  • DOI:10.1214/ECP.v19-3684
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要:Petrov constructed a diffusion process in the Kingman simplex whose unique stationary distribution is the two-parameter Poisson-Dirichlet distribution of Pitman and Yor. We show that the subset of the simplex comprising vectors whose coordinates sum to 1 is the natural state space for the process. In fact, the complementary set acts like an entrance boundary.
  • 关键词:infinite-dimensional diffusion process, transition density, two-parameter Poisson--Dirichlet distribution, entrance boundary;60J60
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