DMTCS Proceedings, 2005 International Conference on Analysis of Algorithms

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DMTCS Conference vol AD (2005), pp. 11-16


2005 International Conference on Analysis of Algorithms

Conrado Martínez (ed.)

DMTCS Conference Volume AD (2005), pp. 11-16

author: M. Archibald
title: Position of the maximum in a sequence with geometric distribution
keywords: Mellin transforms, generating functions, geometric distribution.
abstract: As a sequel to [arch04], the position of the maximum in a geometrically distributed sample is investigated. Samples of length
are considered, where the maximum is required to be in the first
positions. The probability that the maximum occurs in the first
positions is sought for
dependent on
(as opposed to
fixed in [arch04]). Two scenarios are discussed. The first is when
0 < α≤1
, where Mellin transforms are used to obtain the asymptotic results. The second is when
1 ≤d = o(n)
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reference: M. Archibald (2005), Position of the maximum in a sequence with geometric distribution, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 11-16
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
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