Thinning spatial point processes into Poisson processes

DOI10.1239/aap/1275055232zbMath1239.60035OpenAlexW2093189287MaRDI QIDQ3578034

Frederic Paik Schoenberg, Jesper Møller

Publication date: 13 July 2010

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1275055232

zbMATH Keywords

Poisson processcouplingCox processThomas processspatial birth-and-death processPapangelou conditional intensityMarkov point processarea-interaction point processclans of ancestorsdependent and independent thinning

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (3)

Simulations of local Moran’s index in a spatio-temporal setting ⋮ Resample-smoothing of Voronoi intensity estimators ⋮ Transforming Spatial Point Processes into Poisson Processes Using Random Superposition

Uses Software

• spatstat
• spatial
• pyuvdata

Cites Work

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• Markov Point Processes and Their Applications
• Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes
• Assessing Spatial Point Process Models Using Weighted K-functions: Analysis of California Earthquakes
• Residual Analysis for Spatial Point Processes (with Discussion)
• Exponential spaces and counting processes
• Nearest-Neighbour Markov Point Processes and Random Sets

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