Asymptotic expansions for moments in the central limit theorem in Banach spaces

DOI10.1007/BF00971342zbMath0649.60024OpenAlexW2111646923MaRDI QIDQ1105900

Vidmantas Bentkus

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00971342

zbMATH Keywords

asymptotic expansions for momentCLT in Banach spaces

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) 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 ⋮ Convergence rates of moments and related functionals in the invariance principle in Banach spaces ⋮ Consistency of chi-squared test with varying number of classes

Cites Work

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• On Edgeworth expansions in Banach spaces
• Convex measures on locally convex spaces
• Exponential inequalities for sums of random vectors
• Convergence of moments and related functional in the general central limit theorem in banach spaces
• Bad rates of convergence for the central limit theorem in Hilbert space

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