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The law of large numbers in locally convex spaces
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  • Published: July 1988

The law of large numbers in locally convex spaces

  • V. Dobrić1 nAff2 

Probability Theory and Related Fields volume 78, pages 403–417 (1988)Cite this article

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Summary

The law of large numbers is extended to random elements taking values in locally convex spaces. The necessary and sufficient conditions for the law are given in a large class of locally convex spaces, vix. ℱ normed spaces. This class includes, among others, the test function spaces and the distribution spaces.

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References

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Author information

Author notes
  1. V. Dobrić

    Present address: Department of Mathematics, FGG- Zagreb, J. Rakuše 1, YU-41000, Zagreb, Yugoslavia

Authors and Affiliations

  1. Department of Mathematics, Lehigh University, Christmas-Saucon Hall 14, 18015, Bethlehem, PA, USA

    V. Dobrić

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  1. V. Dobrić
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Dobrić, V. The law of large numbers in locally convex spaces. Probab. Th. Rel. Fields 78, 403–417 (1988). https://doi.org/10.1007/BF00334203

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  • Received: 08 July 1985

  • Issue Date: July 1988

  • DOI: https://doi.org/10.1007/BF00334203

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Keywords

  • Stochastic Process
  • Probability Theory
  • Function Space
  • Statistical Theory
  • Large Class
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