C&SA | Contents

Volume 57 >>> № 1 JANUARY — FEBRUARY 2021

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UDC 519.212.2:681.51

V. Masol, S. Popereshnyak¹

¹ Taras Shevchenko National University of Kyiv,
Kyiv, Ukraine

vimasol@ukr.net

² Taras Shevchenko National University of Kyiv,
Kyiv, Ukraine

spopereshnyak@gmail.com

JOINT DISTRIBUTION OF SOME STATISTICS
OF RANDOM BIT SEQUENCES

Abstract. For a finite sequence consisting of independent equally distributed random variables, taking the value zero or one, two-dimensional and three-dimensional distributions of some special statistics characterizing the location of its elements are obtained. The tables that illustrate the application of these distributions to a sequence of length 32 whose elements are assumed to take values of zero or one with equal probabilities are presented.

Keywords: multidimensional statistic, random sequence, s -chains, steganography, statistical testing.

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REFERENCES

Zadiraka V.K., Sergienko I.V., Kovalenko I.M., Andon P.I. Computer steganography. In the book: Alekseev V.A., Alishov N.I., Andon P.I., Anisimov A.V., Baran L.B., Belov V.M., Boyun V.P., Bulavatsky V.M., Bunin S.G., Valakh V.Ya. Status and prospects of computer science development in Ukraine [in Ukrainian]. Kyiv: Nauk. Dumka, 2010. P. 736–747.

Masol V.I., Popereshnyak S.V. Checking the randomness of bits disposition in local segments of the (0, 1)-sequence. Cybernetics and Systems Analysis. 2020. Vol. 56, N 3. P. 513–520. https://doi.org/10.1007/ s10559-020-00267-0.

UDC 519.212.2:681.51

JOINT DISTRIBUTION OF SOME STATISTICSOF RANDOM BIT SEQUENCES

REFERENCES

JOINT DISTRIBUTION OF SOME STATISTICS
OF RANDOM BIT SEQUENCES