What is marginalization in probability

Probability and information

Methods of Knowledge-Based Systems pp 483-505 | Cite as

  • Christoph Beierle
  • Gabriele Kern-Isberner
Chapter
First Online:
Part of the Computational Intelligence book series (CI)

Summary

Usually one introduces the concept of probability with the help of probability measures over probability spaces - essentially using set algebras. We will only consider special set algebras here, namely power sets (= sets of all subsets) of a set Ω. These are trivially concluded with regard to union, intersection and formation of complement, so that the question of Measurability of a set (formally only its affiliation to the set algebra under consideration) does not have to be explicitly discussed: All subsets of Ω are elements of the power set 2Ω and therefore measurable in a probabilistic sense.

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Copyright information

© Springer Fachmedien Wiesbaden 2014

Authors and Affiliations

  1. 1. Faculty of Mathematics and Computer ScienceFernUniversity HagenHagenGermany
  2. 2. Faculty of Computer ScienceTU DortmundDortmundGermany