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《Journal of Jilin University (Science Edition)》 1992-01
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On the Rate of Moment Convergence of Partial Sums of B-Valued Random Variables

Yang Xiaoyun (Department of Mathematics,Jilin University,Changchun)  
Let {X_n} be a sequence of B-valued random variables, {(?)_n} be a sequence of a sequence of increasing σ-algebras, {T_m} be finite (?)_n-stopping times, We are in interested in the rate of moment convergence of S_n~* and S_T_(?)~*, our theorems extend a result of Chow to B-valued random variables, where B is a 2-uniformly smooth Banach space and a Banach space of Rademacher-type 2.
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