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Formation of Probabilistic Distributions of RSE by Associative Functions

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Information Technologies and Mathematical Modelling (ITMM 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 487))

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Abstract

One of the most important, complex and significant tasks for science in general and for specific areas of application of probability, such as economics and statistics, is to develop methods for the determination, study and statistical evaluation of the dependency structure of complex distributions of large dimension. In the paper a new approach of the description of probabilistic distributions of random sets of events by means of the device of associative functions is offered. The feature of this approach is that for definition of probabilistic distribution of a random set of events it is enough to know N probabilities of events and a type of associative function, whereas for definitions of probabilistic distribution of any random set of events it is necessary to set 2N of probabilities.

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Semenova, D., Lukyanova, N. (2014). Formation of Probabilistic Distributions of RSE by Associative Functions. In: Dudin, A., Nazarov, A., Yakupov, R., Gortsev, A. (eds) Information Technologies and Mathematical Modelling. ITMM 2014. Communications in Computer and Information Science, vol 487. Springer, Cham. https://doi.org/10.1007/978-3-319-13671-4_43

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  • DOI: https://doi.org/10.1007/978-3-319-13671-4_43

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13670-7

  • Online ISBN: 978-3-319-13671-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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