| HAL-Inria | Publications, software ... of Inria's scientists |
Conference papers
The number of distinct values of some multiplicity in sequences of geometrically distributed random variables
Abstract : 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 questions have their origin in some computer science problems. Identifying the underlying distributions as (variations of) the extreme value distribution, we are able to derive asymptotic equivalents for all (centered or uncentered) moments in a fairly automatic way.
Cited literature [16 references]
https://hal.inria.fr/hal-01184030
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Wednesday, August 12, 2015 - 3:51:44 PM
Last modification on : Tuesday, October 19, 2021 - 12:55:37 PM
Long-term archiving on: : Friday, November 13, 2015 - 11:40:09 AM
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Wednesday, August 12, 2015 - 3:51:44 PM
Last modification on : Tuesday, October 19, 2021 - 12:55:37 PM
Long-term archiving on: : Friday, November 13, 2015 - 11:40:09 AM
File
dmAD0122.pdf
Publisher files allowed on an open archive