A class of random fields with two-piece marginal distributions for modeling point-referenced data with spatial outliers

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dc.contributor.authorBevilacqua, Moreno
dc.contributor.authorCaamano-Carrillo, Christian
dc.contributor.authorArellano-Valle, Reinaldo B.
dc.contributor.authorGomez, Camilo
dc.date.accessioned2025-01-20T22:01:09Z
dc.date.available2025-01-20T22:01:09Z
dc.date.issued2022
dc.description.abstractIn this paper, we propose a new class of non-Gaussian random fields named two-piece random fields. The proposed class allows to generate random fields that have flexible marginal distributions, possibly skewed and/or heavy-tailed and, as a consequence, has a wide range of applications. We study the second-order properties of this class and provide analytical expressions for the bivariate distribution and the associated correlation functions. We exemplify our general construction by studying two examples: two-piece Gaussian and two-piece Tukey-h random fields. An interesting feature of the proposed class is that it offers a specific type of dependence that can be useful when modeling data displaying spatial outliers, a property that has been somewhat ignored from modeling viewpoint in the literature for spatial point referenced data. Since the likelihood function involves analytically intractable integrals, we adopt the weighted pairwise likelihood as a method of estimation. The effectiveness of our methodology is illustrated with simulation experiments as well as with the analysis of a georeferenced dataset of mean temperatures in Middle East.
dc.fuente.origenWOS
dc.identifier.doi10.1007/s11749-021-00797-5
dc.identifier.eissn1863-8260
dc.identifier.issn1133-0686
dc.identifier.urihttps://doi.org/10.1007/s11749-021-00797-5
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/93798
dc.identifier.wosidWOS:000739261700001
dc.issue.numero3
dc.language.isoen
dc.pagina.final674
dc.pagina.inicio644
dc.revistaTest
dc.rightsacceso restringido
dc.subjectAsymmetric random fields
dc.subjectComposite likelihood
dc.subjectSpatial outliers
dc.subjectTukey-h distribution
dc.subject.ods02 Zero Hunger
dc.subject.odspa02 Hambre cero
dc.titleA class of random fields with two-piece marginal distributions for modeling point-referenced data with spatial outliers
dc.typeartículo
dc.volumen31
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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