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Bayes’ Rule, Principle of Indifference, and Safe Distribution

  • Andrzej Piegat
  • Marek Landowski
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5097)

Abstract

Bayes’ rule is the basis of probabilistic reasoning. It enables to surmount information gaps. However, it requires the knowledge of prior distributions of probabilistic variables. If this distribution is not known then, according to the principle of indifference, the uniform distribution has to be assumed. The uniform distribution is frequently and heavily criticized. The paper presents a safe distribution of probability density that can be often used instead of the uniform distribution to surmount information gaps. According to the authors’ knowledge the concept of the safe distribution is new and unknown in the literature.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Andrzej Piegat
    • 1
  • Marek Landowski
    • 1
    • 2
  1. 1.Faculty of Computer Science and Information SystemsSzczecin University of TechnologySzczecinPoland
  2. 2.Quantitative Methods InstituteSzczecin Maritime UniversitySzczecinPoland

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