On strong laws of large numbers for arrays of rowwise independent random elements
Let {Xnk} be an array of rowwise independent random elements in a separable Banach space of type r, 1≤r≤2. Complete convergence of n1/p∑k=1nXnk to 0, 0<p<r≤2 is obtained when sup1≤k≤nE ‖Xnk‖v=O(nα), α≥0 with v(1p−1r)>α+1. An application to density estimation is also given.
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| Principais autores: | , , |
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| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
Wiley
1993-01-01
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| Serier: | International Journal of Mathematics and Mathematical Sciences |
| Fag: | |
| Online adgang: | http://dx.doi.org/10.1155/S0161171293000729 |
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