Joint Distribution of Some Statistics of Random Bit Sequences


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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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).

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