On death processes and urn models

We use death processes and embeddings into continuous time in order to analyze several urn models with a diminishing content. In particular we discuss generalizations of the pill's problem, originally introduced by Knuth and McCarthy, and generalizations of the well known sampling without repla...

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Vydáno v:Discrete mathematics and theoretical computer science Ročník DMTCS Proceedings vol. AQ,...; číslo Proceedings; s. 29 - 42
Hlavní autoři: Kuba, Markus, Panholzer, Alois
Médium: Journal Article Konferenční příspěvek
Jazyk:angličtina
Vydáno: DMTCS 01.01.2012
Discrete Mathematics and Theoretical Computer Science
Discrete Mathematics & Theoretical Computer Science
Edice:DMTCS Proceedings
Témata:
05c05
60f05
[info.info-cg] computer science [cs]/computational geometry [cs.cg]
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
[info.info-ds] computer science [cs]/data structures and algorithms [cs.ds]
[math.math-co] mathematics [math]/combinatorics [math.co]
Combinatorics
Computational Geometry
Computer Science
Data Structures and Algorithms
Discrete Mathematics
generating functions
limiting distribution msc2000 05a15
Mathematics
urn models
Urn models
Limiting distribution MSC2000 05A15
05C05
60F05
Generating functions
ISSN:1365-8050, 1462-7264, 1365-8050
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Popis
Shrnutí:We use death processes and embeddings into continuous time in order to analyze several urn models with a diminishing content. In particular we discuss generalizations of the pill's problem, originally introduced by Knuth and McCarthy, and generalizations of the well known sampling without replacement urn models, and OK Corral urn models.
ISSN:1365-8050
1462-7264
1365-8050
DOI:10.46298/dmtcs.2981