User:Helgus/ Theory of random events (Crisp mathematical eventology)
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Theory of random events (crisp mathematical eventology) is a mathematical language of eventology – a new direction the probability theory; is based on the principle of eventological duality of notion of a set of random events and a random set of events; studying eventological distributions of a set of random events and eventological structures of its dependencies.
The basic eventological terms
[edit]- Event, probability and value
- Conditional event, conditional probability and conditional value
- Set of events and random set of events
- Event-terrace
- Eventological duality
- Eventological distribution
- Eventological language
- Eventological glossary
- Additive set-functions and measures
- Set-formulae of Mobius inversing events-terraces
- Formulae of Mobius inversing eventological distributions
- Set-means characteristics of a random set of events
- Eventological Bayes's theorem
- Frechet's covariances and correlations
- The structure of dependencies of a set of events
- Eventological copula
References
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- Feynman R.P. (1982) Simulating physics with computers. - International Journal of Theoretical Physics, Vol. 21, nos. 6/7, 467-488.
- ^ Fr'echet M. (1935) G'en'eralisations du th'eor'eme des probabilit'es totales - Fundamenta Mathematica. - 25.
- Hajek, Alan (2003) Interpretations of Probability. - The Stanford Encyclopedia of Philosophy (Summer 2003 Edition), Edward N.Zalta (ed.)
- ^ Herrnstein R.J. (1961) Relative and Absolute strength of Response as a Function of Frequency of Reinforcement. - Journal of the Experimental Analysis of Behavior, 4, 267-272.
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- ^ Marshall Alfred A collection of Marshall's published works
- ^ Nelsen R.B. (1999) An Introduction to Copulas. - Lecture Notes in Statistics, Springer-Verlag, New York, v.139.
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- Schrodinger Erwin (1959) Mind and Matter. - Cambridge, at the University Press.
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- ^ Stoyan D., and H. Stoyan (1994) Fractals, Random Shapes and Point Fields. - Chichester: John Wiley & Sons.
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- ^ Vickrey William Paper on the history of Vickrey auctions in stamp collecting
- ^ Zadeh L.A. (1965) Fuzzy Sets. - Information and Control. - Vol.8. - P.338-353.
- ^ Zadeh L.A. (1968) Probability Measures of Fuzzy Events. - Journal of Mathematical Analysis and Applications. - Vol.10. - P.421-427.
- ^ Zadeh L.A. (1978). Fuzzy Sets as a Basis for a Theory of Possibility. – Fuzzy Sets and Systems. - Vol.1. - P.3-28.
- ^ Zadeh L.A. (2005). Toward a Generalized Theory of Uncertainty (GTU) - An Outline. - Information sciences (to appear).
- ^ Zadeh L.A. (2005). Toward a computational theory of precisiation of meaning based on fuzzy logic - the concept of cointensive precisiation. - Proceedings of IFSA-2005 World Congress.} - Beijing: Tsinghua University Press, Springer.