60724 20210507081943.0 doi 10.1007/s10651-014-0288-1 sideral 91949 ART-2015-91949 eng (orcid)0000-0002-7974-7435 Abaurrea, J. Universidad de Zaragoza A bootstrap test of independence between three temporal nonhomogeneous Poisson processes and its application to heat wave modeling 2015 Access copy available to the general public Unrestricted The main contribution of this work is a bootstrap test to check the independence between temporal nonhomogeneous Poisson processes. The test statistic is based on the close point relation, which adapts the crossed nearest neighbour distance ideas of spatial point processes to the case of nonhomogeneous time point processes. Since it is complicated to obtain the probability distribution of the test statistic under the null hypothesis and the parameters of the processes are usually unknown, the p value is obtained using a parametric bootstrap approach. A simulation study shows that the size of the test is close to the nominal one. The power is analyzed considering three approaches for generating dependent nonhomogeneous processes and different levels of dependence, and satisfactory results are obtained in all cases. Although the test was initially intended for Poisson processes, it can be applied to any type of point process in one dimension which can be simulated. This test is a valuable tool in the validation analysis of common Poisson shock models. For the bivariate case, the process can be decomposed into three independent Poisson processes, and the assumption of independence between them has to be checked. As an application, the joint modeling of the occurrence process of extreme heat events in daily maximum and minimum temperatures is described. info:eu-repo/grantAgreement/ES/MEC/CGL2009-09646 info:eu-repo/grantAgreement/ES/MMA/ESTCENA 2009-0017 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.769 2015 STATISTICS & PROBABILITY 71 / 123 = 0.577 2015 Q3 T2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 72 / 101 = 0.713 2015 Q3 T3 ENVIRONMENTAL SCIENCES 194 / 225 = 0.862 2015 Q4 T3 0.505 2015 Environmental Science (miscellaneous) 2015 Q2 Statistics, Probability and Uncertainty 2015 Q3 Statistics and Probability 2015 Q3 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0002-0174-789X Asín, J. Universidad de Zaragoza (orcid)0000-0002-9052-9674 Cebrián, A.C. Universidad de Zaragoza 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. 22, 1 (2015), 127-144 Environ. ecol. stat. ENVIRONMENTAL AND ECOLOGICAL STATISTICS 1352-8505 544893 http://zaguan.unizar.es/record/60724/files/texto_completo.pdf Postprint 49902 http://zaguan.unizar.es/record/60724/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:60724 articulos driver 2021-05-07-08:09:20 ARTICLE