On the rate of normal approximation in \(D[0,1]\)

DOI10.1007/BF02465351zbMath0943.60007MaRDI QIDQ1386193

Mindaugas Bloznelis

Publication date: 13 May 1998

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

zbMATH Keywords

rate of convergencecentral limit theoremcadlag processes

Mathematics Subject Classification ID

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

Cites Work

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• On the central limit theorem in D[0,1 and D([0,1],H)]
• Rate of convergence in the central limit theorem in the space D[0,1]
• Lower bounds for the rate of convergence in the central limit theorem in Banach spaces
• Estimates of convergence rate in the central limit theorem in C(S)
• A note on the central limit theorem for stochastically continuous processes
• The central limit theorem in the space \(D[0,1\). II]
• Smooth approximations of the norm and differentiable functions with bounded support in Banach space \(\ell ^ k_{\infty}\)
• Bounds for the speed of convergence in the central limit theorem in C(S)
• Central limit theorems in D[0, 1]

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