ON APPLICATIONS OF BAYES' THEOREM

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Bayes’ theorem and its applications in animal behaviour

The Rough Set View on Bayes' Theorem

MOTTO: " It is a capital mistake to theorise before one has data " Sherlock Holms In: A Scandal in Bohemia Abstract. Rough set theory offers new perspective on Bayes' theorem. The look on Bayes' theorem offered by rough set theory reveals that any data set (decision table) satisfies total probability theorem and Bayes' theorem. These properties can be used directly to draw conclusions from obje...

A rough set view on Bayes' theorem

Rough set theory offers new perspective on Bayes’ theorem. The look on Bayes’ theorem offered by rough set theory reveals that any data set (decision table) satisfies the total probability theorem and Bayes’ theorem. These properties can be used directly to draw conclusions from objective data without referring to subjective prior knowledge and its revision if new evidence is available. Thus, t...

On Bayes ’ S Theorem for Improper Mixtures

Although Bayes’s theorem demands a prior that is a probability distribution on the parameter space, the calculus associated with Bayes’s theorem sometimes generates sensible procedures from improper priors, Pitman’s estimator being a good example. However, improper priors may also lead to Bayes procedures that are paradoxical or otherwise unsatisfactory, prompting some authors to insist that al...