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.
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Received: 24 February 1998 / Revised version: 3 January 1999
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Colubi, A., López-Díiaz, M., Domíinguez-Menchero, J. et al. A generalized strong law of large numbers. Probab Theory Relat Fields 114, 401–417 (1999). https://doi.org/10.1007/s004400050229
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DOI: https://doi.org/10.1007/s004400050229