Resample-smoothing of Voronoi intensity estimators

DOI10.1007/s11222-018-09850-0zbMath1430.62073arXiv1807.02590OpenAlexW2868729304MaRDI QIDQ2329814

M. Mehdi Moradi, Ege Rubak, Ottmar Cronie, Jorge Mateu, Adrian J. Baddeley, Raphael Lachieze-Rey

Publication date: 18 October 2019

Published in: Statistics and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02590

zbMATH Keywords

resamplingpoint processmachine learningadaptive intensity estimationindependent thinningVoronoi intensity estimator

Mathematics Subject Classification ID

Applications of statistics to economics (62P20) Density estimation (62G07) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (11)

First- and Second-Order Characteristics of Spatio-Temporal Point Processes on Linear Networks ⋮ Inhomogeneous spatio-temporal point processes on linear networks for visitors' stops data ⋮ Intensity estimation on geometric networks with penalized splines ⋮ A roughness penalty approach to estimate densities over two-dimensional manifolds ⋮ Functional marked point processes: a natural structure to unify spatio-temporal frameworks and to analyse dependent functional data ⋮ Assessing similarities between spatial point patterns with a siamese neural network discriminant model ⋮ On the trend detection of time-ordered intensity images of point processes on linear networks ⋮ Non-parametric adaptive bandwidth selection for kernel estimators of spatial intensity functions ⋮ A numerical method for the generation of hierarchical Poisson Voronoi microstructures applied in micromechanical finite element simulations. I: Method ⋮ Inhomogeneous higher-order summary statistics for point processes on linear networks ⋮ Local inhomogeneous second-order characteristics for spatio-temporal point processes occurring on linear networks

Uses Software

• KernSmooth
• SANET
• DTFE
• pyuvdata

Cites Work

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• Some edge correction methods for marked spatio-temporal point process models
• Stationary random measures on homogeneous spaces
• Symmetric adaptive smoothing regimens for estimation of the spatial relative risk function
• Fast computation of spatially adaptive kernel estimates
• On estimation of the intensity function of a point process
• Statistical Analysis of Spatial and Spatio-Temporal Point Patterns
• Random Measures, Theory and Applications
• On the Voronoi estimator for the intensity of an inhomogeneous planar Poisson process
• Spatial Analysis along Networks
• Geometrically Corrected Second Order Analysis of Events on a Linear Network, with Applications to Ecology and Criminology
• On Kernel-Based Intensity Estimation of Spatial Point Patterns on Linear Networks
• Stochastic and Integral Geometry
• Thinning spatial point processes into Poisson processes
• A Kernel Method for Smoothing Point Process Data
• Non-parametric Bayesian Estimation of a Spatial Poisson Intensity
• Local Regression and Likelihood
• Markov Point Processes and Their Applications
• A non-model-based approach to bandwidth selection for kernel estimators of spatial intensity functions
• Kernel Density Estimation on a Linear Network
• An Introduction to the Theory of Point Processes

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