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Title: Krigagem com regressão espaço-temporal com modelos GAMLSS
Other Titles: Spatio-temporal regression kriging with GAMLSS models
Authors: Lima, Renato Ribeiro de
Olivera, Marcelo Silva de
Scalon, João Domingos
Oliveira, Izabela Regina Cardoso de
Mello, Carlos Rogério de
Olinda, Ricardo Alves de
Keywords: Geoestatística
Issue Date: 28-Jun-2018
Publisher: Universidade Federal de Lavras
Citation: MEDEIROS, E. S. de. Krigagem com regressão espaço-temporal com modelos GAMLSS. 2018. 121 p. Tese (Doutorado em Estatística e Experimentação Agropecuária)-Universidade Federal de Lavras, Lavras, 2018.
Abstract: The spatio-temporal variability of a phenomenon can be decomposed by the trend component and the stochastic residue. This thesis aims to consider different probabilistic models in the adjustment of the trend component, since the precise estimation of the spatial-temporal distribution of the response variable requires an adequate probability distribution. Gaussian regression models and the generalized additive models for position, scale and shape (GAMLSS) were considered for the adjustment of this component. The residuals produced by this regression were modeled by spatio-temporal covariance functions, which took into account spatial, temporal and spatial-temporal dependence. The Spatiotemporal regression Kriging that combined kriging on the residues with the GAMLSS regression showed good results, as evidenced by the statistics obtained after cross-validation. The methodology presented in this thesis allowed the creation of future scenarios for the study area, interpolating unobserved locations and predicting estimates in future years.
Appears in Collections:Estatística e Experimentação Agropecuária - Doutorado (Teses)

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