A generalized strong law of large numbers
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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.
Mathematics Subject Classification (1991): Primary 60F15; Secondary 03B52, 60D05
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© Springer-Verlag Berlin Heidelberg 1999