Cubature scheme for spatio-temporal Poisson point processes estimation

2024/03/16 by Nicoletta D’Angelo, D'Angelo, Nicoletta, Giada Adelfio +1
Earth and Planetary Sciences · #3D Surveying and Cultural Heritage #Computation (stat.CO) #FOS: Computer and information sciences #Methodology (stat.ME)

paper · pdf · doi:10.48550/arxiv.2403.10878

openalex publication_date 2024/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This work presents the cubature scheme for the fitting of spatio-temporal Poisson point processes. The methodology is implemented in the R Core Team (2024) package stopp (D'Angelo and Adelfio, 2023), published on the Comprehensive R Archive Network (CRAN) and available from https://CRAN.R-project.org/package=stopp. Since the number of dummy points should be sufficient for an accurate estimate of the likelihood, numerical experiments are currently under development to give guidelines on this aspect.

Related

• stopp: An R Package for Spatio-Temporal Point Pattern Analysis
• Conditional Densities and Simulations of Inhomogeneous Poisson Point Processes: The R package "IPPP"
• Modelling for Poisson process intensities over irregular spatial domains
• LASPATED: a Library for the Analysis of SPAtio-TEmporal Discrete data
• stopp: Methods for spatio-temporal point pattern analysis, simulation, model fitting, diagnostics, and local analyses