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I am looking to assemble clear examples of Bayesian modelling / smoothing in a GIS. I have yet to see GIS being used to conduct Bayesian style analytical models and would like to see what is currently out there. I am interested in both the application of Bayesian modelling and its current state of inclusion in traditional and/or non-proprietary (opensource) software.

At the moment I am very interested in Bayesian modelling for transportation planning, specifically transit ridership and modal split/share estimations.

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Are you familiar with GeoBUGS? –  whuber Jun 22 '12 at 3:25
    
Are you familar with it enough to post a useful example? Looks interesting. –  hhart Jun 22 '12 at 3:33
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Alittle focus would be helpful. What fields are you interested in (social sciences, environmental sciences?) This will also partly dictate the software environments, as not many tools handle both raster and vector data. –  Andy W Jun 22 '12 at 12:16
    
@AndyW - Transportation mainly... with background in multiple criteria decision analysis and predictive modelling. Added to my original question. –  Michael Markieta Jun 22 '12 at 13:14
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up vote 2 down vote accepted

I understand Arc 10.1 includes Empirical Bayesian Kriging (EBK) with the Geostatistical Analyst. See the attached links for more detail.

EBK thread

EBK info

Edit:

Additional ArcGIS algorithms using Bayesian Statistics and/or decision rules

Maximum Likelihood

Class Probability

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