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Real functions in stochastic dependence

In: Tatra Mountains Mathematical Publications, vol. 74, no. 2
Dušana Babicová - Roman Frič

Details:

Year, pages: 2019, 17 - 34
Keywords:
measurable function, stochastic dependence, fuzzy random event, observable, probability measure, probability integral, state map, statistical map, joint experiment, asymmetrical independence.
Article type: mathematics
Document type: Scientific article *.pdf
About article:
In a fuzzified probability theory, random events are modeled by measurable functions into [0,1] and probability measures are replaced with probability integrals. The transition from Boolean two-valued logic to Łukasiewicz multivalued logic results in an upgraded probability theory in which we define and study asymmetrical stochastic dependence/independence and conditional probability based on stochastic channels and joint experiments so that the classical constructions follow as particular cases. Elementary categorical methods enable us to put the two theories into a perspective.
How to cite:
ISO 690:
Babicová, D., Frič, R. 2019. Real functions in stochastic dependence. In Tatra Mountains Mathematical Publications, vol. 74, no.2, pp. 17-34. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2019-0016

APA:
Babicová, D., Frič, R. (2019). Real functions in stochastic dependence. Tatra Mountains Mathematical Publications, 74(2), 17-34. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2019-0016
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 25. 10. 2019
Rights:
Licensed under the Creative Commons Attribution-NC-ND4.0 International Public License.