A strong law of large numbers for generalized random sets from the viewpoint of empirical processes
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- by Frank N. Proske and Madan L. Puri PDF
- Proc. Amer. Math. Soc. 131 (2003), 2937-2944 Request permission
Abstract:
In this article we prove a strong law of large numbers for Borel measurable nonseparably valued random elements in the case of generalized random sets.References
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Additional Information
- Frank N. Proske
- Affiliation: Abt. Math. III, Universität Ulm, 89069 Ulm, Germany
- Address at time of publication: Department of Mathematics, University of Oslo, 1053 Blindern, 0316 Oslo, Norway
- Email: frproske@metronet.de, proske@math.uio.no
- Madan L. Puri
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- Email: puri@indiana.edu
- Received by editor(s): March 12, 2002
- Received by editor(s) in revised form: April 11, 2002
- Published electronically: January 8, 2003
- Communicated by: Claudia M. Neuhauser
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2937-2944
- MSC (2000): Primary 60D05; Secondary 03E72
- DOI: https://doi.org/10.1090/S0002-9939-03-06842-4
- MathSciNet review: 1974352