DOAJ Open Access 2005

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

Guy Louchard Helmut Prodinger Mark Daniel Ward

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (3)

Guy Louchard

Helmut Prodinger

Mark Daniel Ward

Format Sitasi

APA MLA BibTeX

Louchard, G., Prodinger, H., Ward, M.D. (2005). The number of distinct values of some multiplicity in sequences of geometrically distributed random variables. https://doi.org/10.46298/dmtcs.3358

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.3358

Informasi Jurnal

Tahun Terbit: 2005
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.3358
Akses: Open Access ✓