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Diskretnaya Matematika, 2021, Volume 33, Issue 2, Pages 141–154
DOI: https://doi.org/10.4213/dm1648 (Mi dm1648) 		 
This article is cited in 11 scientific papers (total in 11 papers)

The limit joint distributions of statistics of four tests of the NIST package

M. P. Savelov

Lomonosov Moscow State University
Full-text PDF (532 kB) Citations (11)
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DOI: https://doi.org/10.4213/dm1648
Abstract: For sequences of independent random variables having a Bernoulli distribution with parameter $p$ the limit joint distribution of statistics of four tests of the NIST statistical package («Monobit Test», «Frequency Test within a Block», «Runs Test» and a generalization of «Non-overlapping Template Matching Test») is obtained. Conditions of asymptotic uncorrelatedness and/or asymptotic independence of these statistics are given.
Keywords: joint distribution of statistics, NIST package, «Monobit Test», «Frequency Test within a Block», «Non-overlapping Template Matching Test», «Runs Test», asymptotically independent statistics, asymptotically uncorrelated statistics.
Received: 20.04.2021
English version:
Discrete Mathematics and Applications, 2023, Volume 33, Issue 1, Pages 55–64
DOI: https://doi.org/10.1515/dma-2023-0006
Document Type: Article
UDC: 519.233.33
Language: Russian
Citation: M. P. Savelov, “The limit joint distributions of statistics of four tests of the NIST package”, Diskr. Mat., 33:2 (2021), 141–154; Discrete Math. Appl., 33:1 (2023), 55–64
Citation in format AMSBIB
\Bibitem{Sav21}
\by M.~P.~Savelov
\paper The limit joint distributions of statistics of four tests of the NIST package
\jour Diskr. Mat.
\yr 2021
\vol 33
\issue 2
\pages 141--154
\mathnet{http://mi.mathnet.ru/dm1648}
\crossref{https://doi.org/10.4213/dm1648}
\transl
\jour Discrete Math. Appl.
\yr 2023
\vol 33
\issue 1
\pages 55--64
\crossref{https://doi.org/10.1515/dma-2023-0006}
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  • https://doi.org/10.4213/dm1648
  • https://www.mathnet.ru/eng/dm/v33/i2/p141
    See also
    This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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