UDC 519.212.2:681.51
1 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
 vimasol@ukr.net
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CHECKING THE RANDOMNESS OF BITS DISPOSITION IN LOCAL SEGMENTS
OF THE (0, 1)-SEQUENCE
Abstract. An explicit form of the joint distribution of the number of 2-chains and the number of 3-chains
of various fixed variants in a (0, 1)-sequence of length n consisting of zeros and ones is established.
It is assumed that the elements of (0, 1)-sequences are independent identically distributed random variables.
Tables illustrating the application of the established formulas for a (0, 1)-sequence of length
n = 16 are given.
Keywords: s -chains, bit sequence, randomness, local segments, joint distribution.
FULL TEXT
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