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The dilation phenomenon in robust Bayesian inference
Authors:Larry Wasserman  Teddy Seidenfeld  
Abstract:Upper and lower probabilities may become uniformly less precise after conditioning. We call this dilation. We review some results about dilation, present some examples and explore the effect of Bayesian updating. Also, we show a connection between dilation and nonconglomerability. Finally, we consider the implications of this phenomenon.
Keywords:Conditional probability  density ratio neighborhoods  ε  -contaminated neighborhoods  robust Bayesian inference  upper and lower probabilities
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