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Events and Probability Spaces

In: Applied Probability

Author

Listed:
  • Valérie Girardin

    (Université de Caen Normandie, Laboratoire de Mathématiques Nicolas Oresme)

  • Nikolaos Limnios

    (Université de Technologie de Compiègne, Laboratoire de Mathématiques Appliquées de Compiègne)

Abstract

A random experiment is modeled in mathematics through a probability space, which is a particular type of measure space. General notions on measure spaces are here presented only as much as required for understanding the spaces described thereafter. The presentation is based on the fundamental principles of Kolmogorov’s axioms, which—completed by the notions of independence and conditioning—constitute the basis of probability theory. This chapter also includes different formulas necessary for computing the probabilities of events.

Suggested Citation

  • Valérie Girardin & Nikolaos Limnios, 2022. "Events and Probability Spaces," Springer Books, in: Applied Probability, chapter 1, pages 1-29, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-97963-8_1
    DOI: 10.1007/978-3-030-97963-8_1
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