An application of the Ryll-Nardzewski-Woyczyński theorem to a uniform weak law for tail series of weighted sums of random elements in Banach spaces

DOI10.1016/S0167-7152(00)00018-3zbMath0959.60016OpenAlexW2166496761MaRDI QIDQ1573266

Tien-Chung Hu, Eunwoo Nam, Andrew Rosalsky, Andrei I. Volodin

Publication date: 26 April 2001

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(00)00018-3

zbMATH Keywords

convergence in probabilitytail seriesunconditional convergence in probabilityuniform weak law of large numbers

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items

On the limiting behavior of tail series

Cites Work

• Bounded Multiplier Convergence in Measure of Random Vector Series
• On convergence of series of independent random elements in banach spaces
• On the rate of convergence of series of banach space valued random elements
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