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A generalized strong law of large numbers
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  • Published: June 1999

A generalized strong law of large numbers

  • Ana Colubi1,
  • Miguel López-Díiaz1,
  • J. Santos Domíinguez-Menchero1 &
  • …
  • M. Angeles Gil1 

Probability Theory and Related Fields volume 114, pages 401–417 (1999)Cite this article

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  • 86 Citations

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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.

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  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

    Ana Colubi, Miguel López-Díiaz, J. Santos Domíinguez-Menchero & M. Angeles Gil

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  1. Ana Colubi
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  2. Miguel López-Díiaz
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  3. J. Santos Domíinguez-Menchero
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  4. M. Angeles Gil
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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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  • Issue Date: June 1999

  • DOI: https://doi.org/10.1007/s004400050229

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  • Mathematics Subject Classification (1991): Primary 60F15; Secondary 03B52, 60D05
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