Asymptotic expansions in the central limit theorem in Hilbert space

DOI10.1007/BF00968039zbMath0568.60019OpenAlexW2168543425MaRDI QIDQ1060485

Vidmantas Bentkus

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00968039

zbMATH Keywords

central limit theoremEdgeworth expansionscharacteristic function of a quadratic form on Hilbert space

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

On Bounds for Characteristic Functions of Powers of Asymptotically Normal Variables

Cites Work

• On Edgeworth expansions in Banach spaces
• Exponential inequalities for sums of random vectors
• Asymptotic expansions in the central limit theorem under moment conditions
• Asymptotic expansions for bivariate von Mises functionals
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