## DMTCS Proceedings, 2005 International Conference on Analysis of Algorithms

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DMTCS Conference vol AD (2005), pp. 343-352

## 2005 International Conference on Analysis of Algorithms

### DMTCS Conference Volume AD (2005), pp. 343-352

author: Charlotte Brennan and Arnold Knopfmacher The distribution of ascents of size d or more in samples of geometric random variables geometric random variables, distributions, generating functions We consider words or strings of characters a 1 a 2 a 3 ⋯a n of length n , where the letters a i ∈ℤ 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 if a i+1 ≥a i +d . We determine the mean, variance and limiting distribution of the number of ascents of size d or more in a random geometrically distributed word. If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files. Charlotte Brennan and Arnold Knopfmacher (2005), The distribution of ascents of size d or more in samples of geometric random variables, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 343-352 For a corresponding BibTeX entry, please consider our BibTeX-file. dmAD0131.ps.gz (79 K) dmAD0131.ps (203 K) dmAD0131.pdf (115 K)

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