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Diskretnaya Matematika, 2021, Volume 33, Issue 3, Pages 92–106
DOI: https://doi.org/10.4213/dm1662 (Mi dm1662) 		 
This article is cited in 9 scientific papers (total in 9 papers)

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

M. P. Savelov

Lomonosov Moscow State University
Full-text PDF (501 kB) Citations (9)
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DOI: https://doi.org/10.4213/dm1662
Abstract: For sequences of independent random variables having a Bernoulli distribution the joint distribution and the limit joint distribution of statistics of three tests of the NIST statistical package («Monobit Test», «Frequency Test within a Block», and «Cumulative Sums Test») are obtained. In the case when two blocks are used in «Frequency Test within a Block», pairwise covariance of these statistics is given.
Keywords: joint distribution of statistics, NIST package, «Monobit Test», «Frequency Test within a Block», «Cumulative Sums Test».
Received: 15.04.2021
English version:
Discrete Mathematics and Applications, 2023, Volume 33, Issue 4, Pages 247–257
DOI: https://doi.org/10.1515/dma-2023-0022
Document Type: Article
UDC: 519.233.33
Language: Russian
Citation: M. P. Savelov, “The limit joint distributions of statistics of three tests of the NIST package”, Diskr. Mat., 33:3 (2021), 92–106; Discrete Math. Appl., 33:4 (2023), 247–257
Citation in format AMSBIB
\Bibitem{Sav21}
\by M.~P.~Savelov
\paper The limit joint distributions of statistics of three tests of the NIST package
\jour Diskr. Mat.
\yr 2021
\vol 33
\issue 3
\pages 92--106
\mathnet{http://mi.mathnet.ru/dm1662}
\crossref{https://doi.org/10.4213/dm1662}
\transl
\jour Discrete Math. Appl.
\yr 2023
\vol 33
\issue 4
\pages 247--257
\crossref{https://doi.org/10.1515/dma-2023-0022}
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  • https://doi.org/10.4213/dm1662
  • https://www.mathnet.ru/eng/dm/v33/i3/p92
    See also
    This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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