Corrections to “Bayes theorem, information number and behavior of posterior distributions”

Information and the Dispersion of Posterior Distributions

Aspects of the convergence of Bayes policies and posterior distributions for Markov decision processes

Aspects of the convergence of Bayes policies and posterior distributions for Markov decision processes " (1973). Retrospective Theses and Dissertations. Paper 5003. INFORMATION TO USERS This material was produced from a microfilm copy of the original document. While the most advanced technological means to photograph and reproduce this document have been used, the quality is heavily dependent u...

A qualitative approach to Bayes' theorem.

While decisions made according to Bayes' theorem are the academic normative standard, the theorem is rarely used explicitly in clinical practice. Yet the principles can be followed without intimidating mathematics. To do so, one can first categorise the prior-probability of the disease being tested for as very unlikely (less likely than 10%), unlikely (10-33%), uncertain (34-66%), likely (67-90...

How Information Transfer works: interpretation of Information Contents in Bayes Theorem. Understanding Negative Information

In a given space of models or hypothesis the individual information content of each of them is considered as opposed to the Shannon ́s entropy that measures the average information content of the mentioned space. Single model information contents allow expressing, in the Information Theory framework, Bayes ́ Theorem and Shannon ́s Information Functions (like the Kullback-Leibler divergence or the ...

Quantitative Comparisons between Finitary Posterior Distributions and Bayesian Posterior Distributions

Abstract. The main object of Bayesian statistical inference is the determination of posterior distributions. Sometimes these laws are given for quantities devoid of empirical value. This serious drawback vanishes when one confines oneself to considering a finite horizon framework. However, assuming infinite exchangeability gives rise to fairly tractable a posteriori quantities, which is very at...