2018
DOI: 10.1002/env.2520
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The poly‐log Weibull model applied to space‐time interpolation of temperature

Abstract: In this paper, a multivariate log‐Weibull model for spatially dependent data is defined by marginalizing a conditional Pareto distribution with respect to a shared spatial random effect of alpha‐stable distributions. Some properties of this new model are derived, and procedures for the estimation and inference are discussed. An application is developed to study observed temperature data sets collected from weather stations in the Brazilian Amazon.

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“…And it can capture spatial correlation: data points at spatially neighboring locations may have correlated features, which is particularly important for spatiotemporal interpolation problems. Using PLW, spatiotemporal interpolation of 20-year monthly mean temperatures from 14 meteorological stations in the Brazilian Amazon generates interpolation results that are not significantly different from the IDW interpolation results, but the PLW model can be used as a spatially shifted model for interpolation of meteorological factor minima, and it can also be used efficiently for spatiotemporal forecasting [55].…”
Section: Poly-log Weibullmentioning
confidence: 99%
“…And it can capture spatial correlation: data points at spatially neighboring locations may have correlated features, which is particularly important for spatiotemporal interpolation problems. Using PLW, spatiotemporal interpolation of 20-year monthly mean temperatures from 14 meteorological stations in the Brazilian Amazon generates interpolation results that are not significantly different from the IDW interpolation results, but the PLW model can be used as a spatially shifted model for interpolation of meteorological factor minima, and it can also be used efficiently for spatiotemporal forecasting [55].…”
Section: Poly-log Weibullmentioning
confidence: 99%