A note on the multivariate logarithmic series distribution

A note on the multivariate logarithmic series distribution

The sum of N independent random vectors with common distribution that of the multivariate logarithmic series is distributed as multivariate negative binomial, provided N is distributed as Poisson, independently of the random vectors involved.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in statistics 1974-01, Vol.3 (5), p.469-472
Hauptverfasser: Philippou, Andreas N., Roussas, George G.
Format: Artikel
Sprache:eng
Schlagworte:
multivariate logarithmic series
multivariate negative binomial
Poisson
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The sum of N independent random vectors with common distribution that of the multivariate logarithmic series is distributed as multivariate negative binomial, provided N is distributed as Poisson, independently of the random vectors involved.
ISSN:0090-3272
DOI:10.1080/03610927408827147