Computing the exact distributions of some functions of the ordered multinomial counts: maximum, minimum, range and sums of order statistics.

exact probability multinomial counts urns

Journal

Royal Society open science
ISSN: 2054-5703
Titre abrégé: R Soc Open Sci
Pays: England
ID NLM: 101647528

Informations de publication

Date de publication:
Oct 2019
Historique:
received: 31 01 2019
accepted: 19 08 2019
entrez: 12 12 2019
pubmed: 12 12 2019
medline: 12 12 2019
Statut: epublish

Résumé

Starting from seminal neglected work by Rappeport (Rappeport 1968 Algorithms and computational procedures for the application of order statistics to queuing problems. PhD thesis, New York University), we revisit and expand on the exact algorithms to compute the distribution of the maximum, the minimum, the range and the sum of the

Identifiants

pubmed: 31824683
doi: 10.1098/rsos.190198
pii: rsos190198
pmc: PMC6837199
doi:

Types de publication

Journal Article

Langues

eng

Pagination

190198

Informations de copyright

© 2019 The Authors.

Déclaration de conflit d'intérêts

We declare we have no competing interests.

Références

Stat Med. 2005 Mar 15;24(5):753-73
pubmed: 15523703

Auteurs

Marco Bonetti (M)

Dondena Research Center and Bocconi Institute for Data Science and Analytics, Bocconi University, Via G. Roentgen 1, 20136 Milan (MI), Italy.

Pasquale Cirillo (P)

Applied Probability Group, Delft University of Technology, Van Mourik Broekmanweg 6, 2628 Delft, The Netherlands.

Anton Ogay (A)

Applied Probability Group, Delft University of Technology, Van Mourik Broekmanweg 6, 2628 Delft, The Netherlands.

Classifications MeSH