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We consider the problem of robustness or sensitivity of given Bayesian posterior criteria to specification of the prior distribution. Criteria considered include the posterior mean, variance and probability of a set (for credible regions and hypothesis testing). Uncertainty in an elicited prior, 'go, is modelled by an e-contamination class F = {X = (1 c)1T0 + Eq, q E Q}, where ? reflects the amount of probabilistic uncertainty in 'g, and Q is a class

Ranges of Posterior Measures for Priors with Unimodal Contaminations