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Some Stability Results for Vector Values Random Variables
J. Kuelbs and Joel Zinn
The Annals of Probability
Vol. 7, No. 1 (Feb., 1979), pp. 75-84
Published by: Institute of Mathematical Statistics
Stable URL: http://www.jstor.org/stable/2242839
Page Count: 10
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This paper explores the strong law of large numbers in the infinite dimensional setting. It is shown that under several classical conditions--such as the Kolmogorov condition--the strong law holds if and only if the weak law holds.
The Annals of Probability © 1979 Institute of Mathematical Statistics