A generalized strong law of large numbers |
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| Authors: | Ana Colubi Miguel López-Díiaz J. Santos Domíinguez-Menchero M. Angeles Gil |
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| Affiliation: | (1) Departamento de Estadística, I.O. y D.M., Universidad de Oviedo, C/Calvo Sotelo, s/n, E-33007 Oviedo, Spain. e-mail: jsdm@pinon.ccu.uniovi.es, ES |
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| Abstract: | Strong laws of large numbers have been stated in the literature for measurable 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 nonseparably valued elements of a metric space. Received: 24 February 1998 / Revised version: 3 January 1999 |
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| Keywords: | Mathematics Subject Classification (1991): Primary 60F15 Secondary 03B52, 60D05 |
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