Spatial: One-day Workshop on Objective Bayesian for Spatial and Temporal Models - March 20-21, 2010

Workshop Information

March 20, 2010 - 12:00am - March 21, 2010 - 12:00am

The main theme during the second half of the year for the Fundamental Working Group of the 2009-2010 SAMSI Spatial Program is to explore appropriate prior distributions for parameters of spatial and temporal models. In the absence of sufficiently quantifiable subjective knowledge concerning the unknown parameters, it is typical to resort to noninformative or objective priors; these priors allow most of the benefits of Bayesian analysis to be achieved, while avoiding the difficulty of obtaining a subjective prior. Formal objective priors were introduced for AR (1) models by Berger and Yang (1994), and for geo-statistical models by Berger, De Oleveira and Sanso (2001, JASA) and Paulo (2005, Annals of Statistics). However, the current results are mainly for situations in which there is no nugget effect and no measurement errors; in practice, both are ubiquitous.

The purpose of this one day workshop at San Antonio is to discuss the state of the art concerning objective priors for inference with AR models and spatial processes, and to discuss the way forward in terms of dealing with nuggets effects and measurements errors There will be three sessions:  Auto-regressive Models, Matching Priors and Fiducial Distributions, and Objective Priors for Spatial Models and Space-Time Models. This will set the stage for further work by the Working Group on these problems.

Doubletree Market Square Hotel, San Antonio, Texas

Saturday, March 20, 2010
Double Tree Hotel
 
1:50-2:00    Welcome 
 
2:00-4:00    Session 1: Auto-regressive Models 
                     Chair:  Judith Rousseau (Universite Paris Dauphine)
 
2:00-2:40    Shawn Ni, University of Missouri
                     Objective Bayesian Analysis for AR(p) Models
 
2:40-3:20    Brunero Liseo, University of Missouri
                    Objective Priors for AR(p) Models
 
3:20-3:30    Maria Maddalena Barbieri Universita Roma, Discussion
 
3:30-3:40    Floor discussion
 
3:40-4:10    Coffee Break
 
4:10-6:00   Session 2: Matching Priors and Fiducial Distributions
                   Chair: Susie Bayarri (Universitat de Valencia)
 
4:10-4:50   Stefano Cabras (University of Cagliari) and Maria Eugenia Castellanos    (Rey Carlos University, Spain)
                   A Matching Prior for the Shape Parameter of the Skew-normal Distribution
 
4:50-5:00   Gauri Datta (University of Georgia), Discussion 
 
5:00-5:40   Jan Hannig (University of North Carolina-Chapel Hill)
                  On Generalized Fiducial Inference
 
5:40-5:50   Jose M. Bernardo (Universitat de Valencia), Discussion
 
5:50-6:00   Floor discussion
 
Sunday, March 21, 2010
 
9:00-Noon   Session 3: Objective Priors for Spatial Models and Space-Time Models
                    Chair: Christian Robert, (Universite Paris-Dauphine)
 
9:00-9:45     Victor De Oliveira  (University of Texas at San Antonio): 
                    Bayesian Default Analysis for Gaussian Random Fields
 
9:45-10:30   Cuirong Ren (South Dakota State University)
                    Objective Bayesian Analysis for a Spatial Model with Nugget Effects
 
10:30-11:00   Coffee Break
 
11:00-11:15   Rui Paulo (Technical University of Lisbon), Discussion
 
11:15-11:30   Bruno Sanso (University of California at Santa Cruz), Discussion 
 
11:30-12:00   Floor discussions.