The number of distinct values of some multiplicity in sequences of geometrically distributed random variables

We consider a sequence of $n$ geometric random variables and interpret the outcome as an urn model. For a given parameter $m$, we treat several parameters like what is the largest urn containing at least (or exactly) $m$ balls, or how many urns contain at least $m$ balls, etc. Many of these question...

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Bibliografiske detaljer

Principais autores:	Guy Louchard, Helmut Prodinger, Mark Daniel Ward
Format:	Artigo
Sprog:	Inglês
Udgivet:	Discrete Mathematics & Theoretical Computer Science 2005-01-01
Serier:	Discrete Mathematics & Theoretical Computer Science
Fag:	extreme value distribution distinct values geometric random variables [info.info-ds] computer science [cs]/data structures and algorithms [cs.ds] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-cg] computer science [cs]/computational geometry [cs.cg] [info.info-hc] computer science [cs]/human-computer interaction [cs.hc]
Online adgang:	https://dmtcs.episciences.org/3358/pdf
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