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Uniform and nonuniform estimates in the CLT for Banach valued dependent random variables

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Publication:1823532
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DOI10.1016/0047-259X(88)90045-0zbMath0681.60012OpenAlexW2067519040MaRDI QIDQ1823532

Yanyan Li

Publication date: 1988

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(88)90045-0


zbMATH Keywords

conditional expectationNon-uniform estimates


Mathematics Subject Classification ID

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


Related Items (2)

Uniform bounds in the central limit theorem for \(C(S)\) valued martingales ⋮ Central limit theorems revisited



Cites Work

  • A nonuniform estimate in the central limit theorem in some Banach spaces
  • On Edgeworth expansions in Banach spaces
  • The law of large numbers and the central limit theorem in Banach spaces
  • Martingale Transforms
  • On the rate of convergence to normality for sums of dependent random variables
  • On the Rate of Convergence in the Central Limit Theorem in Certain Banach Spaces
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