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The precise asymptotics of the complete convergence for moving average processes ofm-dependentB-valued elements

โœ Scribed by Xi Li Tan; Xiao Yun Yang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2009
Tongue
English
Weight
255 KB
Volume
25
Category
Article
ISSN
1439-7617

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On the rate of complete convergence for
โœ S.Ejaz Ahmed; Rita Giuliano Antonini; Andrei Volodin ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 112 KB

We obtain complete convergence results for arrays of rowwise independent Banach space valued random elements. In the main result no assumptions are made concerning the geometry of the underlying Banach space. As corollaries we obtain a result on complete convergence in stable type p Banach spaces an