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Diskr. Mat., 2011, Volume 23, Issue 2, Pages 53–58 (Mi dm1140)  

This article is cited in 14 scientific papers (total in 14 papers)

Prohibitions in discrete probabilistic statistical problems

A. A. Grusho, E. E. Timonina


Abstract: In this paper, we continue our studies concerning consistent sequences of tests in discrete probabilistic statistical schemes.
We introduce the concept of a “prohibition” in a discrete probabilistic scheme and give a series of examples where “prohibitions” arise.
In statistical problems, tests exist whose critical sets are completely determined by means of “prohibitions”. We find necessary and sufficient conditions for existence of consistent sequences of tests in discrete schemes where all critical sets are defined by means of “prohibitions”.

DOI: https://doi.org/10.4213/dm1140

Full text: PDF file (103 kB)
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English version:
Discrete Mathematics and Applications, 2011, 21:3, 275–281

Bibliographic databases:

UDC: 519.7
Received: 13.12.2010

Citation: A. A. Grusho, E. E. Timonina, “Prohibitions in discrete probabilistic statistical problems”, Diskr. Mat., 23:2 (2011), 53–58; Discrete Math. Appl., 21:3 (2011), 275–281

Citation in format AMSBIB
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\by A.~A.~Grusho, E.~E.~Timonina
\paper Prohibitions in discrete probabilistic statistical problems
\jour Diskr. Mat.
\yr 2011
\vol 23
\issue 2
\pages 53--58
\mathnet{http://mi.mathnet.ru/dm1140}
\crossref{https://doi.org/10.4213/dm1140}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2865906}
\elib{http://elibrary.ru/item.asp?id=20730383}
\transl
\jour Discrete Math. Appl.
\yr 2011
\vol 21
\issue 3
\pages 275--281
\crossref{https://doi.org/10.1515/DMA.2011.016}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79961039622}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. A. Grusho, N. A. Grusho, E. E. Timonina, “Statisticheskie metody opredeleniya zapretov veroyatnostnykh mer na diskretnykh prostranstvakh”, Inform. i ee primen., 7:1 (2013), 54–57  mathnet
    2. A. A. Grusho, N. A. Grusho, E. E. Timonina, “Skrytye kanaly, porozhdennye metkami, v deitagrammakh”, Sistemy i sredstva inform., 23:2 (2013), 6–21  mathnet  crossref  elib
    3. Grusho A.A., Grusho N.A., Timonina E.E., “Criteria on Statistically Defined Bans”, Proceedings 27th European Conference on Modelling and Simulation Ecms 2013, eds. Rekdalsbakken W., Bye R., Zhang H., European Council Modelling & Simulation, 2013, 610–612  isi
    4. A. A. Grusho, N. A. Grusho, E. E. Timonina, “Analiz metok v skrytykh kanalakh”, Inform. i ee primen., 8:4 (2014), 41–45  mathnet  crossref  elib
    5. A. A. Grusho, N. A. Grusho, E. E. Timonina, “Vklyuchenie novykh zapretov v sluchainye posledovatelnosti”, Inform. i ee primen., 8:4 (2014), 46–52  mathnet  crossref  elib
    6. O. V. Denisov, “Statisticheskie metody poiska nabora koordinat, na kotorom sluchainyi vektor imeet zaprety”, PDM, 2015, no. 2(28), 5–20  mathnet  crossref
    7. Grusho A.A., Grusho N.A., Timonina E.E., “Statistical Decision Functions Based on Bans”, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2014 (Icnaam-2014), AIP Conference Proceedings, 1648, eds. Simos T., Tsitouras C., Amer Inst Physics, 2015, UNSP 250002  crossref  isi  scopus
    8. Grusho A.A., Grusho N.A., Zabezhailo M.I., Timonina E.E., “Intelligent data analysis in information security”, Autom. Control Comp. Sci., 50:8 (2016), 722–725  crossref  isi  scopus
    9. Grusho A., Grusho N., Timonina E., “Detection of Anomalies in Non-Numerical Data”, 2016 8Th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (Icumt), International Conference on Ultra Modern Telecommunications and Control Systems & Workshops, IEEE, 2016, 273–276  isi
    10. E. A. Martyanov, “Vozmozhnost vyyavleniya insaidera statisticheskimi metodami”, Sistemy i sredstva inform., 27:2 (2017), 41–47  mathnet  crossref  elib
    11. E. A. Martyanov, “Zaprety veroyatnostnykh mer v zadache poiska insaidera”, Sistemy i sredstva inform., 27:4 (2017), 144–149  mathnet  crossref  elib
    12. Grusho A.A., Timonina E.E., Shorgin S.Ya., “Modelling For Ensuring Information Security of the Distributed Information Systems”, Proceedings of the 31st European Conference on Modelling and Simulation (ECMS 2017), eds. Paprika Z., Horak P., Varadi K., Zwierczyk P., VidovicsDancs A., Radics J., European Council Modelling & Simulation, 2017, 656–660  isi
    13. A. A. Grusho, N. A. Grusho, M. V. Levykin, E. E. Timonina, “Metody identifikatsii zakhvata khosta v raspredelennoi informatsionno-vychislitelnoi sisteme, zaschischennoi s pomoschyu metadannykh”, Inform. i ee primen., 12:4 (2018), 39–43  mathnet  crossref  elib
    14. A. A. Grusho, E. E. Timonina, S. Ya. Shorgin, “Vozmozhnosti preodoleniya zaschity seti, ispolzuyuschei metadannye dlya upravleniya setevymi soedineniyami”, Sistemy i sredstva inform., 28:4 (2018), 22–30  mathnet  crossref  elib
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