Uniform bounds in the central limit theorem for \(C(S)\) valued martingales

DOI10.1007/BF00972324zbMath0786.60010MaRDI QIDQ1175822

Alfredas Račkauskas

Publication date: 25 June 1992

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

central limit theoremmartingale difference sequenceBanach space of continuous functions\(B\)-valued martingales

Mathematics Subject Classification ID

Martingales with continuous parameter (60G44) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• Unnamed Item
• Central limit theorem and weak law of large numbers with rates for martingales in Banach spaces
• Uniform bound in the central limit theorem for Banach space valued dependent random variables
• On the rate of convergence in the central limit theorem for martingales with discrete and continuous time
• Exact convergence rates in some martingale central limit theorems
• Uniform and nonuniform estimates in the CLT for Banach valued dependent random variables
• Smooth approximations of the norm and differentiable functions with bounded support in Banach space \(\ell ^ k_{\infty}\)
• On the Departure from Normality of a Certain Class of Martingales

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