Asymptotic expansions in functional limit theorems

DOI10.1016/0047-259X(85)90049-1zbMath0557.60027MaRDI QIDQ761694

Friedrich Götze

Publication date: 1985

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionsinvariance principlecentral limit theorems, functional limit theorems,

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Functional limit theorems; invariance principles (60F17)

Related Items (5)

\(U\)-statistics in Banach spaces ⋮ Asymptotic analysis of symmetric functions ⋮ On properties of percentile bootstrap confidence intervals for prediction in functional linear regression ⋮ Edgeworth expansions in very-high-dimensional problems ⋮ Asymptotic expansions in the integral and local limit theorems in Banach spaces with applications to \(\omega\)-statistics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic distribution of symmetric statistics
• An Edgeworth expansion for U-statistics
• Speeds of convergence and asymptotic expansions in the central limit theorem: A treatment by operators
• On Edgeworth expansions in Banach spaces
• Edgeworth expansions and smoothness
• Approximation Theorems of Mathematical Statistics
• Asymptotic expansions in the central limit theorem under moment conditions
• Asymptotic expansions for bivariate von Mises functionals
• The asymptotic expansion of the statistical distribution of N. V. Smirnov

This page was built for publication: Asymptotic expansions in functional limit theorems