Stability for randomly weighted sums of random elements
Let {Xn:n=1,2,3,…} be a sequence of i.i.d. random elements taking values in a separable Banach space of type p and let {An,i:i=1,2,3,…;n=1,2,3,…} be an array of random variables. In this paper, under various assumptions of {An,i}, the necessary and sufficient conditions for ∑i=1∞An,iXi→0 a.s. are ob...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299225598 |
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