Probability Theory and Related Fields

, Volume 78, Issue 3, pp 403–417

The law of large numbers in locally convex spaces

Authors

  • V. Dobrić
    • Department of MathematicsLehigh University
Article

DOI: 10.1007/BF00334203

Cite this article as:
Dobrić, V. Probab. Th. Rel. Fields (1988) 78: 403. doi:10.1007/BF00334203
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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.

Copyright information

© Springer-Verlag 1988