Selection Criterion of Working Correlation Structure for Spatially Correlated Data

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dc.catalogadoraba
dc.contributor.authordos Santos, Marcelo
dc.contributor.authorDe Bastiani, Fernanda
dc.contributor.authorUribe Opazo, Miguel A.
dc.contributor.authorGalea Rojas, Manuel Jesús
dc.date.accessioned2024-04-18T22:10:42Z
dc.date.available2024-04-18T22:10:42Z
dc.date.issued2023
dc.description.abstractTo obtain regression parameter estimates in generalized estimation equation modeling, whether in longitudinal or spatially correlated data, it is necessary to specify the structure of the working correlation matrix. The regression parameter estimates can be affected by the choice of this matrix. Within spatial statistics, the correlation matrix also influences how spatial variability is modeled. Therefore, this study proposes a new method for selecting a working matrix, based on conditioning the variance-covariance matrix naive. The method performance is evaluated by an extensive simulation study, using the marginal distributions of normal, Poisson, and gamma for spatially correlated data. The correlation structure specification is based on semivariogram models, using the Wendland, Matérn, and spherical model families. The results reveal that regarding the hit rates of the true spatial correlation structure of simulated data, the proposed criterion resulted in better performance than competing criteria: quasi-likelihood under the independence model criterion QIC, correlation information criterion CIC, and the Rotnizky–Jewell criterion RJC. The application of an appropriate spatial correlation structure selection was shown using the first-semester average rainfall data of 2021 in the state of Pernambuco, Brazil.
dc.fechaingreso.objetodigital2024-11-21
dc.fuente.origenSCOPUS
dc.fuente.origenORCID
dc.identifier.doi10.1080/00031305.2022.2157874
dc.identifier.eissn1537-2731
dc.identifier.issn0003-1305
dc.identifier.scopusidSCOPUS_ID:85145893001
dc.identifier.urihttps://doi.org/10.1080/00031305.2022.2157874
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/85248
dc.identifier.wosidWOS:000908268700001
dc.information.autorucFacultad de Matemáticas; Galea Rojas, Manuel Jesús; 0000-0001-9819-5843; 1008589
dc.issue.numero3
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final291
dc.pagina.inicio283
dc.revistaAmerican Statistician
dc.rightsacceso restringido
dc.subjectCondition number
dc.subjectGeostatistics
dc.subjectMatérn family
dc.subjectWendland covariance
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.subject.ods03 Good health and well-being
dc.subject.odspa03 Salud y bienestar
dc.titleSelection Criterion of Working Correlation Structure for Spatially Correlated Data
dc.typeartículo
dc.volumen77
sipa.codpersvinculados1008589
sipa.trazabilidadSCOPUS;02-03-2023
sipa.trazabilidadORCID;2024-04-15
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