文章基本信息

标题：Brillinger mixing of determinantal point processes and statistical applications
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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.