Bayesian nonparametric estimation of pair correlation function for inhomogeneous spatial point processes

DOI10.1080/10485252.2013.767337zbMath1307.62218OpenAlexW1963918051MaRDI QIDQ5299888

Ji Meng Loh, Yu Ryan Yue

Publication date: 24 June 2013

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

Full work available at URL: https://doi.org/10.1080/10485252.2013.767337

zbMATH Keywords

pair correlation functionBayesian smoothingintegrated nested Laplace approximationinhomogeneous spatial point processes

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Nonparametric regression and quantile regression (62G08) Applications of statistics to social sciences (62P25) Bayesian inference (62F15) Applications of statistics to physics (62P35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (4)

Spatial Cox processes in an infinite-dimensional framework ⋮ Semiparametric Goodness-of-Fit Test for Clustered Point Processes with a Shape-Constrained Pair Correlation Function ⋮ Nonparametric estimation of the pair correlation function of replicated inhomogeneous point processes ⋮ Variable selection for inhomogeneous spatial point process models

Uses Software

• GMRFLib
• Fahrmeir

Cites Work

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• Non‐ and semi‐parametric estimation of interaction in inhomogeneous point patterns
• Fully Bayesian spline smoothing and intrinsic autoregressive priors
• A Composite Likelihood Cross‐validation Approach in Selecting Bandwidth for the Estimation of the Pair Correlation Function
• Tests for Independence between Marks and Points of a Marked Point Process
• Multivariate statistical modelling based on generalized linear models.

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