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Inference after checking the prior & sampling model
1 September 2015
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D. R. Bickel, “Inference after checking multiple Bayesian models for data conflict and applications to mitigating the influence of rejected priors,” International Journal of Approximate Reasoning 66, 53–72 (2015). Simple explanation | Published version | 2014 preprint | Slides
The proposed procedure combines Bayesian model checking with robust Bayes acts to guide inference whether or not the model is found to be inadequate:
- The first stage of the procedure checks each model within a large class of models to determine which models are in conflict with the data and which are adequate for purposes of data analysis.
- The second stage of the procedure applies distribution combination or decision rules developed for imprecise probability.
This proposed procedure is illustrated by the application of a class of hierarchical models to a simple data set.
The link Simple explanation was added on 6 June 2017.
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