| 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
n
are considered, where the maximum is required to be
in the first
d
positions. The probability that the maximum occurs in
the first
d
positions is sought for
d
dependent on
n
(as opposed to
d
fixed in [arch04]). Two scenarios are discussed. The
first is when
d=αn
for
0 < α≤1
, where Mellin transforms are used to obtain the
asymptotic results. The second is when
1 ≤d = o(n)
.
|
| 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. | |
| 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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| ps-source: | dmAD0102.ps (187 K) |
| pdf-source: | dmAD0102.pdf (104 K) |
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