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On the Limiting Behavior of Weighted Partial Sums for B Valued Martingale Difference Sequences
Authors:Gan Shixin  Qiu dehua
Abstract:Let {Xn, n≥1} be a martingale difference sequence and {ank,1≤k≤n, n≥1} an array of constant real numbers. The limiting behavior of weighted partial sums ∑nk=1ankXk is investigated and some new results are obtained.
Keywords:p-smoothable Banach space  weighted partial sum  martingale difference sequence  strong law of large numbers
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