Informatics and Applications
2014, Volume 8, Issue 4, pp 46-52
SWITCHING ON OF NEW BANS IN RANDOM SEQUENCES
- A. A. Grusho
- N. A. Grusho
- E. E. Timonina
Abstract
The problem ofgenerating one probability measure on space ofthe infinite sequences on finite alphabets with a-algebra generated by cylindrical sets out of another probability measure on this space is considered.
A new probability measure is arranged to reduce the set ofadmissible trajectories ofrandom sequences definitely. Inadmissibility of trajectories is defined in terms of specifications of the smallest bans. If a specification of the smallest bans is given, then the powers of support of projections of the new measure can be determined. It gives conditions to construct several sets offunctions. These functions and projections ofthe initial measure define a set ofmeasures on finite spaces which define the only probability measure on the space ofinfinite sequences.
[+] References (7)
- Axelsson, S. 1999. The base-rate fallacy and its implications for the difficulty of intrusion detection. 6th Conference on Computer and Communications Security Proceedings. New York: ASM. 1-7.
- Grusho, A., andE. Timonina. 2011. Prohibitions in discrete probabilistic statistical problems. Discrete Mathematics Ap-plications 21(3):275-281.
- Grusho, A., N. Grusho, and E. Timonina. 2013. Consistent sequences of tests defined by bans. Springer proceedings in mathematics & statistics, optimization theory, decision
making, and operation research applications. New York- Heidelberg - Dordrecht - London: Springer. 281-291.
- Grusho, A., N. Grusho, and E. Timonina. 2010. Problems of modeling in the analysis of covert channels. Computer network security. Lecture notes in computer science ser. 6258:118-124. doi: 10.1007/978-3-642-14706-7_9.
- Neveu, J. 1964. Bases mathematiques du calcul des proba- bilites. Paris: Masson. 203 p.
- Bourbaki, N. 1940. Topologie Generale. Chapitre 1: Struc-tures topologiques. Chapitre 2: Structures uniformes. Paris: Hermann, 1940. 129 p.
- Prokhorov, Yu. V., and Yu. A. Rozanov. 1993. Teoriya veroy- atnostey [Theory of probabilities]. Moscow: Nauka. 496 p.
[+] About this article
Title
SWITCHING ON OF NEW BANS IN RANDOM SEQUENCES
Journal
Informatics and Applications
2014, Volume 8, Issue 4, pp 46-52
Cover Date
2014-10-30
DOI
10.14357/19922264140406
Print ISSN
1992-2264
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
random sequences; bans of probability measures; generation of probability measures; statistical problems on random sequences
Authors
A. A. Grusho  ,  ,
N. A. Grusho , and E. E. Timonina
Author Affiliations
Institute of Informatics Problems, Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
Federation
Faculty of Computational Mathematics and Cybernetics, M.V. Lomonosov Moscow State University, 1-52 Leninskiye Gory, GSP-1, Moscow 119991, Russian Federation
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