2005 International Conference on Analysis of Algorithms
Conrado Martínez (ed.)
DMTCS Conference Volume AD (2005), pp. 343-352
| author: | Charlotte Brennan and Arnold Knopfmacher |
|---|---|
| title: |
The distribution of ascents of size
d
or more in samples of geometric random variables
|
| keywords: | geometric random variables, distributions, generating functions |
| abstract: |
We consider words or strings of characters
a
of length
1
a
2
a
3
⋯a
n
n
, where the letters
a
are independently generated with a geometric
probability
i
∈ℤ
ℙ{X=k}=pq
where
k-1
p+q=1.
Let
d
be a fixed nonnegative integer. We say that we have
an ascent of size
d
or more if
a
. We determine the mean, variance and limiting
distribution of the number of ascents of size
i+1
≥a
i
+d
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. | |
| reference: |
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
|
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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