Asymptotic expansions with nonuniform remainders in the central limit theorem in Hilbert space

DOI10.1007/BF00966737zbMath0659.60017MaRDI QIDQ1112420

Boris A. Zalesky, Vidmantas Bentkus

Publication date: 1985

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

zbMATH Keywords

asymptotic expansionscentral limit theoremestimates of the remainder termbounded symmetric operator

Mathematics Subject Classification ID

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

Related Items (2)

Nonuniform estimates in the central limit theorem in Banach spaces ⋮ Asymptotic expansions in the integral and local limit theorems in Banach spaces with applications to \(\omega\)-statistics

Cites Work

• Asymptotics of the remainder term in the central limit theorem in a Hilbert space
• Exponential inequalities for sums of random vectors
• Asymptotic expansions for bivariate von Mises functionals
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic expansions with nonuniform remainders in the central limit theorem in Hilbert space