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September 2015 Optimal Design in Geostatistics under Preferential Sampling
Gustavo da Silva Ferreira, Dani Gamerman
Bayesian Anal. 10(3): 711-735 (September 2015). DOI: 10.1214/15-BA944

Abstract

This paper analyses the effect of preferential sampling in Geostatistics when the choice of new sampling locations is the main interest of the researcher. A Bayesian criterion based on maximizing utility functions is used. Simulated studies are presented and highlight the strong influence of preferential sampling in the decisions. The computational complexity is faced by treating the new local sampling locations as a model parameter and the optimal choice is then made by analysing its posterior distribution. Finally, an application is presented using rainfall data collected during spring in Rio de Janeiro. The results showed that the optimal design is substantially changed under preferential sampling effects. Furthermore, it was possible to identify other interesting aspects related to preferential sampling effects in estimation and prediction in Geostatistics.

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Gustavo da Silva Ferreira. Dani Gamerman. "Optimal Design in Geostatistics under Preferential Sampling." Bayesian Anal. 10 (3) 711 - 735, September 2015. https://doi.org/10.1214/15-BA944

Information

Published: September 2015
First available in Project Euclid: 20 February 2015

zbMATH: 1336.62217
MathSciNet: MR3420820
Digital Object Identifier: 10.1214/15-BA944

Keywords: Geostatistics , optimal design , point process , preferential sampling

Rights: Copyright © 2015 International Society for Bayesian Analysis

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Vol.10 • No. 3 • September 2015
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