Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10524436 | Journal of Multivariate Analysis | 2005 | 16 Pages |
Abstract
We provide the rate of convergence of the Bayes action derived from non smooth loss functions involved in Bayesian robustness. Such loss functions are typically not twice differentiable but admit right and left second derivatives. The asymptotic limit of three measures of global robustness is given. These measures are the range of the Bayes actions set associated with a class of loss functions, the maximum regret of using a particular loss when the subjective loss belongs to a given class and the range of the posterior expected loss when the loss ranges over a given class. An application to prior robustness with density ratio classes is provided.
Related Topics
Physical Sciences and Engineering
Mathematics
Numerical Analysis
Authors
Christophe Abraham,