The DOI matches its Crossref record; 72 of the 72 references it cites were found in a registry or an index.
Hybrids of Gibbs Point Process Models and Their Implementation
Abstract
We describe a simple way to construct new statistical models for spatial point pattern data. Taking two or more existing models (finite Gibbs spatial point processes) we multiply the probability densities together and renormalise to obtain a new probability density. We call the resulting model a hybrid. We discuss stochastic properties of hybrids, their statistical implications, statistical inference, computational strategies and software implementation in the R package spatstat. Hybrids are particularly useful for constructing models which exhibit interaction at different spatial scales. The methods are demonstrated on a real data set on human social interaction. Software and data are provided.
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“Furthermore, preliminary tests on the data showed good fit with the CPs, indicating that our data could be represented by an inhomogeneous Poisson cluster process(Baddeley et al., 2013).”
From Points, patterns, and predictions in archaeological settlement data: site-environment relationships of paracas and nasca communities in the peruvian andes (2025) · cites this paper as Baddeley et al., 2013
Citations
Cites
R: A Language and Environment for Statistical Computing
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Jones, J. E. (1924) · Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1924.0082 · Cited by 2,384
spatstat: An R Package for Analyzing Spatial Point Patterns
Baddeley, A., & Turner, R. (2005) · Journal of Statistical Software · doi:10.18637/jss.v012.i06 · Cited by 2,328
Self-citationStatistical Mechanics: Rigorous Results
Ruelle, D. P. (1969) · UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno · doi:10.1142/4090#t=toc · Cited by 1,897
Statistical Analysis and Modelling of Spatial Point Patterns
Illian, J., Penttinen, A., Stoyan, H., & Stoyan, D. (2007) · Wiley eBooks · doi:10.1002/9780470725160 · Cited by 1,852
The second-order analysis of stationary point processes
Ripley, B. D. (1976) · Journal of Applied Probability · doi:10.2307/3212829 · Cited by 1,539
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Statistical Inference and Simulation for Spatial Point Processes
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Cited by
Bilotti, G., Reindel, M., Isla, J., & Mader, C. (2025) · Journal of Archaeological Science · doi:10.1016/j.jas.2025.106385 · Cited by 2
Metadata
- Authors
- Baddeley, A., Turner, R., Mateu, J., & Bevan, A.
- Venue
- Journal of Statistical Software
- Publisher
- Foundation for Open Access Statistic
- Published
- 2013
- Volume
- 55
- Issue
- 11
- ISSN
- 1548-7660
- Cited by
- 52
- References
- 72
- Language
- en
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