Kernel Density Estimation on a Linear Network

DOI10.1111/sjos.12255zbMath1422.62091OpenAlexW2554699473MaRDI QIDQ5738831

Greg McSwiggan, Gopalan M. Nair, Adrian J. Baddeley

Publication date: 13 June 2017

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sjos.12255

zbMATH Keywords

diffusionheat equationheat kernelbandwidth selectionfinite difference algorithmspatial point processintensityroad accidentsequal-split kernels

Mathematics Subject Classification ID

Density estimation (62G07) Linear regression; mixed models (62J05) Applications of statistics to social sciences (62P25)

Related Items (15)

Density estimation on a network ⋮ 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 ⋮ Fast Kernel Smoothing of Point Patterns on a Large Network using Two‐dimensional Convolution ⋮ On the trend detection of time-ordered intensity images of point processes on linear networks ⋮ 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 ⋮ Point processes on directed linear networks ⋮ Second-order and local characteristics of network intensity functions ⋮ Estimation of relative risk for events on a linear network ⋮ On Kernel-Based Intensity Estimation of Spatial Point Patterns on Linear Networks ⋮ Diffusion smoothing for spatial point patterns ⋮ Resample-smoothing of Voronoi intensity estimators

Uses Software

• R
• spatstat
• Matrix

Cites Work

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• Eigenvalues of the Laplacian of a graph^∗
• A Moving Average Approach for Spatial Statistical Models of Stream Networks
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