A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements

zbMath1058.60006MaRDI QIDQ1888629

Yanyan Li

Publication date: 26 November 2004

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229011

zbMATH Keywords

rate of convergencecomplete convergencealmost sure convergenceweighted sumsconvergence in probabilitystable type \(p\) Banach spacearray of Banach space valued random elementsrowwise independence

Mathematics Subject Classification ID

Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (4)

Complete moment convergence for weighted sums of arrays of Banach-space-valued random elements ⋮ Complete convergence for weighted sums of arrays of Banach-space-valued random elements ⋮ Complete moment convergence for weighted sums of sequences of independent random elements in Banach spaces ⋮ Complete moment convergence and complete convergence for weighted sums of NSD random variables

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