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1. Note on the strong law of large numbers in a Hilbert space.

Author

Ying-Xia Chen and Wei-Jun Zhu

Subjects
*LAW of large numbers, *HILBERT space, *RANDOM variables, *MATHEMATICAL variables, *PROBABILITY theory
Abstract

We study the Kolmogorov's strong law of large numbers for the sums of Hilbert valued random variables under the condition E∥ X1∥ < ∞ and the weaker assumption that the random variables is only pairwise independent identically distributed. In addition, the strong law of large numbers for r- dimensional arrays is also obtained. [ABSTRACT FROM AUTHOR]

Published
2011

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