Checking the Randomness of Bits Disposition in Local Segments of the (0, 1)-Sequence
Autor: | S. V. Popereshnyak, V. I. Masol |
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Rok vydání: | 2020 |
Předmět: |
Discrete mathematics
021103 operations research General Computer Science 010102 general mathematics 0211 other engineering and technologies 02 engineering and technology Disposition 01 natural sciences Joint probability distribution 0101 mathematics Random variable ±1-sequence Randomness Mathematics |
Zdroj: | Cybernetics and Systems Analysis. 56:513-520 |
ISSN: | 1573-8337 1060-0396 |
DOI: | 10.1007/s10559-020-00267-0 |
Popis: | An explicit form of the joint distribution of the number of 2-strings and the number of 3-strings of various fixed variants in a (0, 1)-sequence of length n consisting of zeros and ones is established. Elements of (0, 1)-sequences are assumed to be independent equally distributed random variables. The tables illustrating application of established formulas for (0, 1)-sequences of length n = 16 are provided. |
Databáze: | OpenAIRE |
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