A first‐order, ratio‐based nonparametric separability test for spatiotemporal point processes
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Otros documentos de la autoría: Fuentes Santos, I.; González-Manteiga, Wenceslao; Mateu, Jorge
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Título
A first‐order, ratio‐based nonparametric separability test for spatiotemporal point processesFecha de publicación
2018-02Cita bibliográfica
FUENTES SANTOS, I.; GONZÁLEZ MANTEIGA, Wenceslao; MATEU, Jorge. (2018). A first‐order, ratio‐based nonparametric separability test for spatiotemporal point processes. Environmetrics, v. 29, issue 1Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://onlinelibrary.wiley.com/doi/epdf/10.1002/env.2482Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
Testing whether the intensity function of a spatiotemporal point process is sep-
arable should be one of the first steps in the analysis of any observed pattern.
Under separability, the risk of observing an event ... [+]
Testing whether the intensity function of a spatiotemporal point process is sep-
arable should be one of the first steps in the analysis of any observed pattern.
Under separability, the risk of observing an event at time t is spatially invariant,
that is, the ratio between the intensity functions of the spatiotemporal point pro-
cess and its spatial marginal does not depend on the spatial location of events.
Considering this property, this work proposes testing separability through a
regression test that checks the dependence of the ratio function on the spa-
tial locations. To implement the test, we introduce a kernel estimator of the
log-ratio function and a cross-validation bandwidth selector. The simulation
studies conducted to analyze the performance of the test point out the need to
use a permutation test to calibrate the null distribution. Comparison with non-
parametric separability tests currently available reported that the no-effect test
provides a better calibration under the null hypothesis, and it is competitive
in power with the current tests under the alternative hypothesis. The perfor-
mance of the test is also illustrated throughout its application to the analysis of
the spatiotemporal patterns of wildfires registered in Galicia (NW Spain) during
2006. [-]
Publicado en
Environmetrics (2018), v. 29, issue 1Proyecto de investigación
1) Spanish Ministry of Science and Innovation, Grant/Award Number: MTM2008-0310; 2) Spanish Ministry of Economy and Competitiveness, Grant/Award Number: MTM2010-14961, MTM2013-41383-P and MTM2013-43917-P; 3) Bancaja Foundation, Grant/Award Number: MTM2016-78917-R, MTM2016-76969-P (AEI/FEDER, UE) and P1-1B2015-60; IAP network StUDyS, Grant/Award Number: 3E120297Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
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info:eu-repo/semantics/restrictedAccess
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