A note on Edgeworth expansions for the von Mises functionals
type: Item
instance of: scholarly article
title: A note on Edgeworth expansions for the von Mises functionals
zbMATH Open document ID: 0663.62029
DOI: 10.1016/0047-259X(88)90102-9
author: Hajime Takahashi
published in: Journal of Multivariate Analysis
publication date: 1988-01-01T00:00:00Z
review text: We consider the asymptotic expansions for the distribution of the von Mises statistical functionals. By combining the methods of \textit{J. Reeds} [On the definition of von Mises functionals. Ph. D. thesis, Harvard Univ. (1976)] and \textit{H. Callaert}, \textit{P. Janssen} and \textit{N. Veraverbeke} [Ann. Stat. 8, 299-312 (1980; Zbl 0428.62016)] we obtain the Edgeworth expansion with remainder \(o(n^{-1/2})\) as \(n\to \infty\).
Mathematics Subject Classification ID: 62E20
Mathematics Subject Classification ID: 62G99
zbMATH DE Number: 4084733
zbMATH Keywords: Taylor series expansions
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: von Mises statistical functionals
zbMATH Keywords: Edgeworth expansion
MaRDI profile type: Publication
cites work: An Edgeworth expansion for U-statistics
cites work: Q5512461
cites work: Robust Statistics
cites work: On the Asymptotic Distribution of Differentiable Statistical Functions
description: scientific article; zbMATH DE number 4084733