Objective Bayesian Analysis of Spatially Correlated Data

By James O. Berger, V. D. de Oliveira, Bruno Sansó. 2001

550 citations recorded by the source corpus.

Subfields: Economics and Econometrics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/10efce500f3716eda599a053ac1b574b2db24282

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Citations in the corpus

Spatial correlation-based collaborative medium access control in wireless sensor networks (2006, methodology): “Generally, covariance models can be classi.ed into four standard groups as Spherical, Power Exponential, Rational Quadratic, and Matérn [4].”
The case for objective Bayesian analysis (2006, background): “One such problem is that constant prior densities can often result in improper posterior distributions, as was shown for a common spatial situation in Berger et al. (2001) .”
Nonstationary multivariate process modeling through spatially varying coregionalization (2004, background): “, Berger et al. (2001) for a general discussion of prior specifications for φj).”
Objective Testing Procedures in Linear Models: Calibration of the p‐values (2006, unknown): “Objective procedures for choosing Pr(M0), 0( 0) and 1( 1) is becoming very popular (Berger, 2000; Clyde & George, 2000; Kim & Sun, 2000; Wasserman, 2000; Berger et al., 2001; Sweeting, 2001; Casella & Moreno, 2005, 2006).”
Spatial dynamic factor analysis (2008, methodology): “Then, the Bayes factor for a model with smoothness parameter κ equal to 7 (for κ in {1, . . . , 10}) was selected in most cases (see Berger et al. 2001 for further details).”
Why environmental scientists are becoming Bayesians (2004, background): “In practice, it may be difficult to specify non-informative priors for models with deep hierarchies and even to identify when there are problems (e.g. Berger et al. 2001).”
Bayesian functional ANOVA modeling using Gaussian process prior distributions (2010, background): “Standard noninformative priors for the covariance parameters as in Berger et al. (2001) can be computationally expensive, involving derivatives of each element of the correlation matrix.”
Bayesian emulation of complex multi-output and dynamic computer models (2010, background): “…of genuine prior beliefs is a difficult task, and alternative choices of ‘default’ priors are subject of ongoing research (see among the others Berger et al., 2001; Paulo, 2003), ‡Constraining the TI emulator to previous SDGVM evaluations leads to a variance reduction of 1.002% for NBP…”
Spatio-temporal correlation: theory and applications for wireless sensor networks (2004, background): “The physical phenomenon in interest can be modeled as a spatio-temporal process sðt; x; yÞ as a function of time t and spatial coordinates ðx; yÞ.”
Constructing Priors that Penalize the Complexity of Gaussian Random Fields (2015, background): “The series of papers on reference priors for GRFs starting with Berger, De Oliveira, and Sansó (2001) evaluated the priors by studying frequentist properties of the resulting Bayesian inference.”