A generalized strong law of large numbers

Authors
Colubi, A Lopez-Diaz, M Dominguez-Menchero, JS Gil, MA
Citation
A. Colubi et al., A generalized strong law of large numbers, PROB TH REL, 114(3), 1999, pp. 401-417
Citations number
34
Categorie Soggetti
Mathematics
Journal title
PROBABILITY THEORY AND RELATED FIELDS
ISSN journal
01788051 → ACNP
Volume
114
Issue
3
Year of publication
1999
Pages
401 - 417
Database
ISI
SICI code
0178-8051(199907)114:3<401:AGSLOL>2.0.ZU;2-A
Abstract
Strong laws of large numbers have been stated in the literature for measura ble functions taking on values on different spaces. In this paper, a strong law of large numbers which generalizes some previous ones (like those for real-valued random variables and compact random sets) is established. This law is an example of a strong law of large numbers for Borel measurable non separably valued elements of a metric space.