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The joint distribution of the number of ones and the number of 1-runs in binary Markov sequences

โœ Scribed by Savelyev, L. Ya; Balakin, S.V.


Book ID
120137511
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2004
Tongue
English
Weight
110 KB
Volume
14
Category
Article
ISSN
0924-9265

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statistics a b s t r a c t In this paper, we derive the number of binary strings which contain, for a given i k , exactly i k runs of 1's of length k in all possible binary strings of length n, 1 โ‰ค k โ‰ค n. Such a knowledge about the distribution pattern of runs of 1's in binary strings is useful in