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 p+δ with EXnk=0 for all k, n. The complete convergence (and hence almost sure convergence) of n−1/p∑k=1nXnk to 0, 1≤p<2, is obtained when {Xnk} are uniformly bounded by a random variable X with E|X|2p<∞....
Uloženo v:
| Hlavní autoři: | , |
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| Médium: | Artigo |
| Jazyk: | Inglês |
| Vydáno: |
Wiley
1987-01-01
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| Edice: | International Journal of Mathematics and Mathematical Sciences |
| Témata: | |
| On-line přístup: | http://dx.doi.org/10.1155/S0161171287000899 |
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