A functional central limit theorem for the empirical Ripley's K-function

09/28/2021 ∙ by Christophe A. N. Biscio, et al. ∙ 0

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.

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