Theory Change and Bayesian Statistical Inference

Bayesian Geometric Theory of Statistical Inference

Statistical estimation is studied in the framework of Bayesian decision theory and information geometry. Extending information deviation (divergence) to the space of nite measures, it is shown that for a given prior and sample there exist ideal estimates given by a posterior average. The error of any estimate is decomposed into the sum of its deviation from the ideal estimate and the error of t...

Bayesian Statistical Inference in Anesthesiology

4 July 2013 I N this issue of ANesthesiology, Kant et al.1 demonstrate the application of the Continual Reassessment Method in the estimation of the eD95 for bupivacaine. The article is not only of clinical interest, but also serves to illustrate the utility of a formal Bayesian statistical analysis. in the field of statistics, the use of such a Bayesian approach to evaluate scientific evidence...

Bayesian Nonparametric and Parametric Inference

This paper reviews Bayesian Nonparametric methods and discusses how parametric predictive densities can be constructed using nonparametric ideas.

Statistical Inference Theory

Bayesian Statistical Inference and Approximate Truth

Scientists and Bayesian statisticians often study hypotheses that they know to be false. This creates an interpretive problem because the Bayesian probability of a hypothesis is supposed to represent the probability that the hypothesis is true. I investigate whether Bayesianism can accommodate the idea that false hypotheses are sometimes approximately true or that some hypotheses or models can ...