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Bayesian Modeling and Analysis of Geostatistical Data.

Publication ,  Journal Article
Gelfand, AE; Banerjee, S
Published in: Annual review of statistics and its application
March 2017

The most prevalent spatial data setting is, arguably, that of so-called geostatistical data, data that arise as random variables observed at fixed spatial locations. Collection of such data in space and in time has grown enormously in the past two decades. With it has grown a substantial array of methods to analyze such data. Here, we attempt a review of a fully model-based perspective for such data analysis, the approach of hierarchical modeling fitted within a Bayesian framework. The benefit, as with hierarchical Bayesian modeling in general, is full and exact inference, with proper assessment of uncertainty. Geostatistical modeling includes univariate and multivariate data collection at sites, continuous and categorical data at sites, static and dynamic data at sites, and datasets over very large numbers of sites and long periods of time. Within the hierarchical modeling framework, we offer a review of the current state of the art in these settings.

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Published In

Annual review of statistics and its application

DOI

EISSN

2326-831X

ISSN

2326-8298

Publication Date

March 2017

Volume

4

Start / End Page

245 / 266

Related Subject Headings

  • 4905 Statistics
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics
 

Citation

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Gelfand, A. E., & Banerjee, S. (2017). Bayesian Modeling and Analysis of Geostatistical Data. Annual Review of Statistics and Its Application, 4, 245–266. https://doi.org/10.1146/annurev-statistics-060116-054155
Gelfand, Alan E., and Sudipto Banerjee. “Bayesian Modeling and Analysis of Geostatistical Data.Annual Review of Statistics and Its Application 4 (March 2017): 245–66. https://doi.org/10.1146/annurev-statistics-060116-054155.
Gelfand AE, Banerjee S. Bayesian Modeling and Analysis of Geostatistical Data. Annual review of statistics and its application. 2017 Mar;4:245–66.
Gelfand, Alan E., and Sudipto Banerjee. “Bayesian Modeling and Analysis of Geostatistical Data.Annual Review of Statistics and Its Application, vol. 4, Mar. 2017, pp. 245–66. Epmc, doi:10.1146/annurev-statistics-060116-054155.
Gelfand AE, Banerjee S. Bayesian Modeling and Analysis of Geostatistical Data. Annual review of statistics and its application. 2017 Mar;4:245–266.

Published In

Annual review of statistics and its application

DOI

EISSN

2326-831X

ISSN

2326-8298

Publication Date

March 2017

Volume

4

Start / End Page

245 / 266

Related Subject Headings

  • 4905 Statistics
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics