On estimation of the intensity function of a point process

DOI10.1007/s11009-011-9244-9zbMath1274.60157OpenAlexW2138961004MaRDI QIDQ1930616

Marie-Colette N. M. van Lieshout

Publication date: 11 January 2013

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-011-9244-9

zbMATH Keywords

Poisson processkernel estimatorintensity functionDelaunay tessellation field estimatorgeneral weight function estimatormass preservationsecond order product density

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Density estimation (62G07) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (12)

On the classification problem for Poisson point processes ⋮ Summary statistics for inhomogeneous marked point processes ⋮ On the estimation of the mean density of random closed sets ⋮ Infill asymptotics for adaptive kernel estimators of spatial intensity ⋮ Optimal bandwidth of the ``Minkowski content-based estimator of the mean density of random closed sets: theoretical results and numerical experiments ⋮ Bayesian Selection of Adaptive Bandwidth in Non-homogeneous Poisson Process Kernel Estimators for the Intensity Function ⋮ Non-parametric adaptive bandwidth selection for kernel estimators of spatial intensity functions ⋮ Infill asymptotics and bandwidth selection for kernel estimators of spatial intensity functions ⋮ Globally intensity-reweighted estimators for $K$- and pair correlation functions ⋮ A quadrat neighborhood estimator for intensity function of point processes ⋮ Resample-smoothing of Voronoi intensity estimators ⋮ A J‐function for Inhomogeneous Spatio‐temporal Point Processes

Uses Software

• DTFE

Cites Work

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• An introduction to the theory of point processes
• Lectures on random Voronoi tessellations
• Handbook of Spatial Statistics
• Intensity Estimation for Spatial Point Processes Observed with Noise
• A Kernel Method for Smoothing Point Process Data
• Non-parametric Bayesian Estimation of a Spatial Poisson Intensity
• Estimation of the intensity of a Poisson point process by means of nearest neighbor distances
• Markov Point Processes and Their Applications
• On inversion formulae forn-fold Palm distributions of point processes in LCS-spaces

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