Abstract
One of the significant, fundamental and demanded tasks of modern statistical data analysis and computer science is to develop methods for the analysis of different types of data. The paper considers a situation, when one part of the researching data is numerical and the part is multiple. The notion of the set of bipartite sets of events is offered. This set consists of the sets of events, whose first part corresponds to the random variables, and second part — to the sets.
In this work it is considered all possible types of the set of bipartite sets. The formula of probabilistic distribution for all types of this set is shown. The concepts of the Minkovsky set-operation of the set of bipartite sets of events and its probability are resulted. Also in paper practical problems of application of the given set are considered.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Baranova, I.V.: The bipartite set of events method in eventological analysis of social-economic system/Bulletin of Krasnoyarsk State University, Krasnoyarsk, vol. 1, pp. 142–152 (2006) (in Russian)
Vorobyev, O.Y., Baranova, I.V.: The bipartite set method application in eventological analysis of complex system. Siberian Federal University, Krasnoyarsk (2007) (in Russian)
Vorobyev, O.Y.: Eventology. Krasnoyarsk, Siberian Federal University (2007) (in Russian)
Matheron, G.: Random sets and integral geometry. John Wiley & Sons, New York (1975)
Stoyan, D., Stoyan, H.: Fractals, Random Shapes and Point Fields. John Wiley & Sons, New York (1994)
Kyburg, H.E.: Probability and Inductive Logic. The Macmillian Company, Collier-Macmillian limited, London (1970)
Schweizer, B., Sklar, A.: Probabilistic metric spaces. North Holland, New York (1983)
Baranova, I.V.: Regression between the polytypic data, describing behavior of complex system/Proceedings of the Third International Conference “Problems of Cybernetics and Informatics”, Baku, Azerbaijan, vol. 2, pp. 244–248 (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Baranova, I. (2014). Sets of Bipartite Sets of Events and Their Application. 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_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-13671-4_4
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13670-7
Online ISBN: 978-3-319-13671-4
eBook Packages: Computer ScienceComputer Science (R0)