On the Accuracy of Normal Approximation in Banach Spaces

DOI10.1137/1133039zbMath0666.60009OpenAlexW2082626962MaRDI QIDQ3817355

Boris A. Zalesky

Publication date: 1988

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1133039

zbMATH Keywords

Banach spacecentral limit theoremnonuniform convergence rate

Mathematics Subject Classification ID

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

Related Items (3)

On smoothness conditions and convergence rates in the CLT in Banach spaces ⋮ Optimal-order bounds on the rate of convergence to normality in the multivariate delta method ⋮ Asymptotic expansions in the integral and local limit theorems in Banach spaces with applications to \(\omega\)-statistics

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