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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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