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.

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References

  1. 1.

    V. K. Zadiraka, I. V. Sergienko, I. M. Kovalenko, and P. I. Andon, “Computer steganography,” in: V. A. Alekseev, N. I. Alishov, P. I. Andon, A. V. Anisimov, L. B. Baran, V. M. Belov, V. P. Boyun, V. M. Bulavatsky, S. G. Bunin, and V. Ya. Valakh, State and Prospects of Informatics Development in Ukraine [in Ukrainian], Naukova Dumka, Kyiv (2010), pp. 736–747.

  2. 2.

    V. I. Masol and S. V. Popereshnyak, “Checking the randomness of bits disposition in local segments of the (0, 1)-sequence,” Cybern. Syst. Analysis, Vol. 56, No. 3, 513–520 (2020). https://doi.org/https://doi.org/10.1007/s10559-020-00267-0.

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Correspondence to V. Masol.

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Translated from Kibernetyka ta Systemnyi Analiz, No. 1, January–February, 2021, pp. 160–167.

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Masol, V., Popereshnyak, S. Joint Distribution of Some Statistics of Random Bit Sequences. Cybern Syst Anal 57, 139–145 (2021). https://doi.org/10.1007/s10559-021-00337-x

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Keywords

  • multidimensional statistic
  • random sequence
  • s-chains
  • steganography
  • statistical testing