Testing similarity between first-order intensities of spatial point processes. A comparative study
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Title
Testing similarity between first-order intensities of spatial point processes. A comparative studyAuthor (s)
Date
2023Publisher
Taylor & FrancisBibliographic citation
I. Fuentes-Santos, W. González-Manteiga & J. Mateu (2023) Testing similarity between first-order intensities of spatial point processes. A comparative study, Communications in Statistics - Simulation and Computation, 52:5, 2210-2230, DOI: 10.1080/03610918.2021.1901118Type
info:eu-repo/semantics/articlePublisher version
https://www.tandfonline.com/doi/full/10.1080/03610918.2021.1901118Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
Testing whether two spatial point processes have the same spatial distribution is an important task that can be addressed from different perspectives. A Kolmogorov-Smirnov test with asymptotic calibration and a Cramer ... [+]
Testing whether two spatial point processes have the same spatial distribution is an important task that can be addressed from different perspectives. A Kolmogorov-Smirnov test with asymptotic calibration and a Cramer von Mises type test with bootstrap calibration have recently been developed to compare the first-order intensity of two observed patterns. Motivated by common practice in epidemiological studies, we introduce a regression test based on the relative risk function with two alternative bootstrap calibrations. This paper compares the performance of these nonparametric tests through both an intensive simulation study, and the application to wildfire and crime data. The three tests provide good calibrations of the null hypothesis for simulated Poisson and non-Poisson spatial point processes, but the Cramer von Mises and regression tests outperform the cost-efficient Kolmogorov-Smirnov test in terms of power. In the real data analysis we have seen that the Kolmogorov-Smirnov test does not detect differences between spatial point patterns when dealing with sparse data. In view of these results, it would be preferable using the Cramer von Mises or regression tests despite their higher computational demand. [-]
Funder Name
AEI/FEDER, UE | Generalitat Valenciana | Belgian Science Policy
Project code
MTM2016-78917-R | MTM2016-76969-P | AICO/2019/198 | 3E120297
Project title or grant
IAP network StUDyS grant
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© 2021 The Author(s). Published with license by Taylor & Francis Group, LLC
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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