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  • 标题:Identifying interacting pairs of sites in Ising models on a countable set
  • 本地全文:下载
  • 作者:Antonio Galves ; Enza Orlandi ; Daniel Y. Takahashi
  • 期刊名称:Brazilian Journal of Probability and Statistics
  • 印刷版ISSN:0103-0752
  • 出版年度:2015
  • 卷号:29
  • 期号:2
  • 页码:443-459
  • DOI:10.1214/14-BJPS279
  • 语种:English
  • 出版社:Brazilian Statistical Association
  • 摘要:This paper address the problem of identifying pairs of interacting sites from a finite sample of independent realizations of the Ising model. We consider Ising models in a infinite countable set of sites under Dobrushin uniqueness condition. The observed sample contains only the values assigned by the Ising model to a finite set of sites. Our main result is an upperbound for the probability of misidentification of the pairs of interacting sites in this finite set.
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