Models for Geostatistical Binary Data: Properties and Connections.

This article explores models for geostatistical data for situations in which the region where the phenomenon of interest varies is partitioned into two disjoint subregions. This is called a binary map. The goals of the article are 3-fold. First, a review is provided of the classes of models that hav...

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Published in:American Statistician Vol. 74; no. 1; pp. 72 - 80
Main Author: De Oliveira, Victor
Format: Article
Published: Taylor & Francis Ltd Feb2020
Subjects:
Online Access:View this record in EBSCOhost
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      dt: Feb2020
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      pub: Taylor & Francis Ltd
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        141377216
        10.1080/00031305.2018.1444674
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        atl: Models for Geostatistical Binary Data: Properties and Connections.
      aug:
        au: De Oliveira, Victor
        affil: Department of Management Science and Statistics, The University of Texas at San Antonio, San Antonio, TX
      su:
        Random fields
        Gaussian processes
        Regression analysis
        Binary codes
      sug:
        subj:
          Random fields
          Gaussian processes
          Regression analysis
          Binary codes
      keyword:
        Clipped Gaussian random field
        Gaussian copula model
        Generalized linear mixed model
        Indicator kriging
        Probit model
        Clipped Gaussian random field
        Gaussian copula model
        Generalized linear mixed model
        Indicator kriging
        Probit model
      ab: This article explores models for geostatistical data for situations in which the region where the phenomenon of interest varies is partitioned into two disjoint subregions. This is called a binary map. The goals of the article are 3-fold. First, a review is provided of the classes of models that have been proposed so far in the literature for geostatistical binary data as well as a description of their main features. A problems with the use of moment-based models is pointed out. Second, a generalization is provided of the clipped Gaussian random field that eases regression function modeling, interpretation of the regression parameters, and establishing connections with other models. The second-order properties of this model are studied in some detail. Finally, connections between the aforementioned classes of models are established, showing that some of these are reformulations (reparameterizations) of the other classes of models.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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