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A generalized strong law of large numbers. (English) Zbl 0933.60023

Summary: 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.

MSC:

60F15 Strong limit theorems
03B52 Fuzzy logic; logic of vagueness
60D05 Geometric probability and stochastic geometry
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