Boghossian, Bellarmine, and Bayes

Meta Reasoning in ACL2

Aberrant DNA methylation of calcitonin receptor in Fabry patients treated with enzyme replacement therapy

Incompatibility Arguments and Semantic Self Knowledge

There has been much discussion recently of what has been labeled the “Brown-Boghossian-McKinsey”, “Brown-McKinsey” or sometimes just “McKinsey” arguments for the incompatibility of externalism and self-knowledge. However, while the three author’s arguments have been treated as interchangeable, they are not identical. In particular, Brown’s and Boghossian’s arguments have a fairly serious flaw t...

Bayes, E-Bayes and Robust Bayes Premium Estimation and Prediction under the Squared Log Error Loss Function

In risk analysis based on Bayesian framework, premium calculation requires specification of a prior distribution for the risk parameter in the heterogeneous portfolio. When the prior knowledge is vague, the E-Bayesian and robust Bayesian analysis can be used to handle the uncertainty in specifying the prior distribution by considering a class of priors instead of a single prior. In th...

Invariant Empirical Bayes Confidence Interval for Mean Vector of Normal Distribution and its Generalization for Exponential Family

Based on a given Bayesian model of multivariate normal with  known variance matrix we will find an empirical Bayes confidence interval for the mean vector components which have normal distribution. We will find this empirical Bayes confidence interval as a conditional form on ancillary statistic. In both cases (i.e.  conditional and unconditional empirical Bayes confidence interval), the empiri...