A functional central limit theorem for the empirical Ripley's \(K\)-function
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Publication:2154942
DOI10.1214/22-EJS2017zbMath1497.60045arXiv2109.13741OpenAlexW3204513053MaRDI QIDQ2154942
Anne Marie Svane, Christophe Ange Napoléon Biscio
Publication date: 15 July 2022
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.13741
functional central limit theorempoint processesgoodness-of-fit testRipley's \(K\) functionGibbs point processes
Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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- Limit theorems for geometric functionals of Gibbs point processes
- A note on expansion for functionals of spatial marked point processes
- Testing goodness of fit for point processes via topological data analysis
- Moderate deviations for stabilizing functionals in geometric probability
- Gaussian limits of empirical multiparameter \(K\)-functions of homogeneous Poisson processes and tests for complete spatial randomness
- Limit theory for geometric statistics of point processes having fast decay of correlations
- Perfect simulation for interacting point processes, loss networks and Ising models.
- Normal approximation for statistics of Gibbsian input in geometric probability
- Normal convergence of multidimensional shot noise and rates of this convergence
- Goodness-of-fit tests for the second moment funciton of a stationary multidimensional poisson process
- Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes
- Functional limit theorems for the euler characteristic process in the critical regime
- Global Envelope Tests for Spatial Processes
- Statistical Inference for Spatial Processes
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