Inequalities for sums of adapted random fields in Banach spaces and their application to strong law of large numbers

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作者
Hung Thang Dang
Cong Son Ta
Manh Cuong Tran
机构
[1] VNU Hanoi University of Science,Department of Mathematics
关键词
adapted random field; blockwise ; -martingale difference field; Marcinkiewicz-Zygmund strong law of larger numbers; -uniformly smooth Banach space;
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摘要
We obtain inequalities for sums of adapted random fields in p-uniformly smooth Banach spaces, and we extend Kolmogorov and Marcinkiewicz-Zygmund strong laws for blockwise α-martingale difference fields.
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