A functional central limit theorem for the empirical Ripley's K-function
Statistics Theory
2021-09-29 v1 Probability
Statistics Theory
Abstract
We establish a functional central limit theorem for Ripley's K-function for two classes of point processes. One is the class of point processes having exponential decay of correlations and further satisfying a conditional m-dependence condition. The other is a family of Gibbs point processes. We illustrate the use of our theorem for goodness-of-fit tests in simulations.
Keywords
Cite
@article{arxiv.2109.13741,
title = {A functional central limit theorem for the empirical Ripley's K-function},
author = {Christophe A. N. Biscio and Anne Marie Svane},
journal= {arXiv preprint arXiv:2109.13741},
year = {2021}
}
Comments
43 pages, 3 tables