A functional central limit theorem for the \(K\)-function with an estimated intensity function

Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

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On the higher order product density functions of a Neyman-Scott cluster point process
Consistent parametric estimation of the intensity of a spatial-temporal point process
A functional central limit theorem for the empirical Ripley's \(K\)-function
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Limit theory for geometric statistics of point processes having fast decay of correlations
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Log Gaussian Cox Processes
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Global Envelope Tests for Spatial Processes
An Estimating Function Approach to Inference for Inhomogeneous Neyman–Scott Processes
A Tutorial on Palm Distributions for Spatial Point Processes
Information criteria for inhomogeneous spatial point processes

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