文章基本信息

标题：A functional central limit theorem for the empirical Ripley’s K-function
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作者：Christophe A. N. Biscio ; Anne Marie Svane
期刊名称：Electronic Journal of Statistics
印刷版ISSN：1935-7524
出版年度：2022
卷号：16
期号：1
页码：3060-3098
DOI：10.1214/22-EJS2017
语种：English
出版社：Institute of Mathematical Statistics
摘要：We establish a functional central limit theorem for the empirical Ripley’s K-function of Gibbs point processes and point processes with fast decay of correlations. Our theorem greatly extend past results that were restricted to the Poisson case and allow to determine the asymptotic behaviour of statistics based on the K-function which may be used, for example, to develop goodness-of-fit tests. We illustrate this in a simulation study.
关键词：60F17;60G55;60F05;functional central limit theorem;Gibbs point processes;Goodness-of-fit test;Point processes;Ripley’s K function