Strong Law of Large Numbers for Banach Space Valued Random Sets

Strong Law of Large Numbers for Banach Space Valued Random Sets

In this paper we prove a strong law of large numbers for random sets whose values are compact convex subsets of a Banach space.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:The Annals of probability 1983-02, Vol.11 (1), p.222-224
Hauptverfasser: Puri, Madan L., Ralescu, Dan A.
Format: Artikel
Sprache:eng
Schlagworte:
60D05
60F15
Banach space
Embeddings
Law of large numbers
Mathematical integrals
Mathematical sets
Mathematical theorems
Probabilities
random sets
Short Communications
Strong law of large numbers
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper we prove a strong law of large numbers for random sets whose values are compact convex subsets of a Banach space.
ISSN:0091-1798
2168-894X
DOI:10.1214/aop/1176993671