Volume 4, Number 1 (March 2005)                   JIRSS 2005, 4(1): 51-56 | Back to browse issues page


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Smythe R T. A Further Note on Runs in Independent Sequences. JIRSS. 2005; 4 (1) :51-56
URL: http://jirss.irstat.ir/article-1-125-en.html

Abstract:   (4861 Views)
Given a sequence of letters generated independently from a finite alphabet, we consider the case when more than one, but not all, letters are generated with the highest probability. The length of the longest run of any of these letters is shown to be one greater than the length of the longest run in a particular state of an associated Markov chain. Using results of Foulser and Karlin (1987), a conjecture of a previous paper (Smythe, 2003) concerning the expectation of this length is verified.
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Subject: 60: Probability theory and stochastic processes
Received: 2011/10/22 | Accepted: 2015/09/12

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