Ludwik Turko
Altered Probability States
The outcomes of a given measurement of any scientific observables can be considered random variables. The crucial point is to find and apply statistical methods that enable a reasonable inference of measured observables and scientific models used to describe phenomena of interest. The statistical inference, however, is contingent on the notion of probability and how this notion is applied to the description and characterization of experimental results. Altered Probability States then appear, based on two different interpretations of the notion of probability: frequentist interpretation based on the set theory and subjective, called also Bayesian, interpretations based on extensions of logic. The seminar will be devoted to the comparison of both approaches, their inference methods, and ranges of applicability. Real-life examples will be presented.