Charlotte A. C. Brennan

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The distribution of ascents of size d or more in samples of geometric random variables We consider words or strings of characters a1a2a3. .. an of length n, where the letters ai ∈ N are independently generated with a geometric probability P{X = k} = pq k−1 where p + q = 1. Let d be a fixed nonnegative integer. We say that we have an ascent of size d or more(More)
A composition of a positive integer n is a finite sequence of positive integers a1, a2,. .. , a k such that a1 + a2 + · · · + a k = n. Let d be a fixed nonnegative integer. We say that we have an ascent of size d or more if ai+1 ≥ ai + d. We determine the mean, variance and limiting distribution of the number of ascents of size d or more in the set of(More)
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