Second-Order Residual Analysis of Spatiotemporal Point Processes and Applications in Model Evaluation

DOI10.1111/j.1467-9868.2006.00559.xzbMath1110.62128OpenAlexW2162335478MaRDI QIDQ3408552

Jiancang Zhuang

Publication date: 14 November 2006

Published in: Journal of the Royal Statistical Society Series B: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9868.2006.00559.x

zbMATH Keywords

point processmartingaleresidual analysismodel evaluationearthquake clustersepidemic-type aftershock sequence model

Mathematics Subject Classification ID

Related Items (11)

Unnamed Item ⋮ A review of self-exciting spatio-temporal point processes and their applications ⋮ Comment on ``A review of self-exciting spatio-temporal point process and their applications by Alex Reinhart ⋮ Rejoinder on: ``A review of self-exciting spatio-temporal point processes and their applications ⋮ Residual Analysis for Inhomogeneous Neyman-Scott Processes ⋮ Model Checking for Hidden Markov Models ⋮ Point process diagnostics based on weighted second-order statistics and their asymptotic properties ⋮ Pseudomartingale Estimating Equations for Modulated Renewal Process Models ⋮ A semiparametric additive rate model for a modulated renewal process ⋮ Cluster Detection Based on Spatial Associations and Iterated Residuals in Generalized Linear Mixed Models ⋮ Residual analysis methods for space-time point processes with applications to earthquake forecast models in California

Cites Work

• Point processes and queues. Martingale dynamics
• Space-time point-process models for earthquake occurrences
• On Lewis' simulation method for point processes
• Stochastic Declustering of Space-Time Earthquake Occurrences
• Rescaling Marked Point Processes
• An Introduction to the Theory of Point Processes
• A new look at the statistical model identification

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