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  • 标题:Brillinger mixing of determinantal point processes and statistical applications
  • 本地全文:下载
  • 作者:Christophe A. N. Biscio ; Frédéric Lavancier
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2016
  • 卷号:10
  • 期号:1
  • 页码:582-607
  • DOI:10.1214/16-EJS1116
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:Stationary determinantal point processes are proved to be Brillinger mixing. This property is an important step towards asymptotic statistics for these processes. As an important example, a central limit theorem for a wide class of functionals of determinantal point processes is established. This result yields in particular the asymptotic normality of the estimator of the intensity of a stationary determinantal point process and of the kernel estimator of its pair correlation.
  • 关键词:Regularity;inhibition;moment measures;pair correlation function;intensity;kernel estimator.
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