Robust Bayesian inference involves examining the performance of Bayes rules from a class of prior distributions. However, given a specified class of priors, there is no mechanism for choosing a reasonable default option, that is, a robust prior that is somehow noninformative. We show that, by applying results of classical robustness theory, such priors can be easily defined. These priors display attractive robustness properties and also provide a means for "touring " through a class of priors
We consider the Bayesian estimation of a location parameter θ based on one observation x from a univ...
Here a new class of local separation measures over prior densities is studied and their usefulness ...
Robustness has always been an important element of the foundation of Statistics. However, it has onl...
We investigate the choice of default priors for use with likelihood for Bayesian and frequentist inf...
In Chapter 2, the robustness of Bayes analysis with reference to conjugate prior classes is discusse...
Partial prior information on the marginal distribution of an observable random variable is considere...
A key sticking point of Bayesian analysis is the choice of prior distribution, and there is a vast l...
Introduction Central in Bayesian statistics is Bayes' theorem, which can be written as follows...
This paper discusses fundamental aspects of inference with imprecise probabilities from the decisio...
15 pages, 8 figures, 5 tablesFollowing the critical review of Seaman et al. (2012), we reflect on wh...
textabstractA sensible Bayesian model selection or comparison strategy implies selecting the model w...
We are interested in understanding the relationship between Bayesian inference and evidence theory. ...
This paper considers a new class \Gamma specified under uncertainty on the relative weights of some ...
This paper presents a new asymptotic approach to study the robustness of Bayesian inference to chang...
We develop a framework for quantifying the sensitivity of the distribution of pos-terior distributio...
We consider the Bayesian estimation of a location parameter θ based on one observation x from a univ...
Here a new class of local separation measures over prior densities is studied and their usefulness ...
Robustness has always been an important element of the foundation of Statistics. However, it has onl...
We investigate the choice of default priors for use with likelihood for Bayesian and frequentist inf...
In Chapter 2, the robustness of Bayes analysis with reference to conjugate prior classes is discusse...
Partial prior information on the marginal distribution of an observable random variable is considere...
A key sticking point of Bayesian analysis is the choice of prior distribution, and there is a vast l...
Introduction Central in Bayesian statistics is Bayes' theorem, which can be written as follows...
This paper discusses fundamental aspects of inference with imprecise probabilities from the decisio...
15 pages, 8 figures, 5 tablesFollowing the critical review of Seaman et al. (2012), we reflect on wh...
textabstractA sensible Bayesian model selection or comparison strategy implies selecting the model w...
We are interested in understanding the relationship between Bayesian inference and evidence theory. ...
This paper considers a new class \Gamma specified under uncertainty on the relative weights of some ...
This paper presents a new asymptotic approach to study the robustness of Bayesian inference to chang...
We develop a framework for quantifying the sensitivity of the distribution of pos-terior distributio...
We consider the Bayesian estimation of a location parameter θ based on one observation x from a univ...
Here a new class of local separation measures over prior densities is studied and their usefulness ...
Robustness has always been an important element of the foundation of Statistics. However, it has onl...