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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
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.
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Kibernetyka ta Systemnyi Analiz, No. 1, January–February, 2021, pp. 160–167.
Rights and permissions
About this article
Cite this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10559-021-00337-x