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A probability inequality for sums of independent Banach space valued random variables

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Publication:5085834
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DOI10.1080/17442508.2017.1318878zbMath1498.60022arXiv1703.07868OpenAlexW2963215175MaRDI QIDQ5085834

Andrew Rosalsky, De Li Li, Han-Ying Liang

Publication date: 30 June 2022

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07868


zbMATH Keywords

weak law of large numbersprobability inequalitysums of independent Banach space valued random variables


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Probability theory on linear topological spaces (60B11)


Related Items

A supplement to the laws of large numbers and the large deviations



Cites Work

  • Iterated logarithm laws for asymmetric random variables barely with or without finite mean
  • A note on symmetrization procedures for the laws of large numbers
  • Stable Measures and Central Limit Theorems in Spaces of Stable Type
  • Sums of independent Banach space valued random variables
  • A Limit Theoerm for Random Variables with Infinite Moments
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