| author: | Travis Herbranson and Don Rawlings |
|---|---|
| title: |
A Sequential Search Distribution: Proofreading, Russian
Roulette, and the Incomplete
q
-Eulerian Polynomials
|
| keywords: | California Polytechnic State University, San Luis Obispo, California 93407 |
| abstract: |
The distribution for the number of searches needed to find
k
of
n
lost objects is expressed in terms of a refinement of
the
q
-Eulerian polynomials, for which formulae are
developed involving homogeneous symmetric polynomials. In
the case when
k=n
and the find probability remains constant, relatively
simple and efficient formulas are obtained. From our main
theorem, we further (1) deduce the inverse absorption
distribution and (2) determine the expected number of times
the survivor pulls the trigger in an
n
-player game of Russian roulette.
|
| 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: |
Travis Herbranson and Don Rawlings (2001), A Sequential
Search Distribution: Proofreading, Russian Roulette, and
the Incomplete
q
-Eulerian Polynomials, in Discrete Models:
Combinatorics, Computation, and Geometry, DM-CCG 2001,
Robert Cori and Jacques Mazoyer and Michel Morvan and
Rémy Mosseri (eds.), Discrete Mathematics and
Theoretical Computer Science Proceedings AA, pp.
193-202
|
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
| ps.gz-source: | dmAA0114.ps.gz (35 K) |
| ps-source: | dmAA0114.ps (98 K) |
| pdf-source: | dmAA0114.pdf (106 K) |
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