On the distribution of runs of ones in b
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Koushik Sinha; Bhabani P. Sinha
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Article
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2009
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Elsevier Science
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English
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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 β€ k β€ n. Such a knowledge about the distribution pattern of runs of 1's in binary strings is useful in