best possible sufficient conditions for strong law of large numbers for multi-indexed orthogonal random elements
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ID: 198984
2007
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Abstract
It will be shown and induced that the d-dimensional indices in the Banach spaces version conditions ∑n(E‖Xn‖p/|nα|p)<∞ are sufficient to yield limmin1≤j≤d(nj)→∞(1/|nα|)∑k≤n∏j=1d(1−(kj−1)/nj)Xk=0 a.s. for arrays of James-type orthogonal random elements. Particularly, it will be shown also that there are the best possible sufficient conditions for multi-indexed independent real-valued random variables.
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| Reference Key |
su2007internationalbest
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|---|---|
| Authors | ;Kuo-Liang Su |
| Journal | structural engineering and mechanics |
| Year | 2007 |
| DOI |
10.1155/2007/86909
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| URL | |
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