Asymptotic equivalence of the jackknife and infinitesimal jackknife variance estimators for some smooth statistics

DOI10.1007/BF02517807zbMath1050.62055arXivmath/0301363MaRDI QIDQ1881418

Alex D. Gottlieb

Publication date: 5 October 2004

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301363

zbMATH Keywords

asymptotic normalitytrimmed \(L\)-statisticsinfinitesimal jackknifejackknife variance estimator

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Nonparametric statistical resampling methods (62G09)

Cites Work

• Unnamed Item
• Unnamed Item
• Jackknife approximations to bootstrap estimates
• Linear functions of order statistics with smooth weight functions
• The jackknife and bootstrap
• Differentiability of statistical functionals and consistency of the jackknife
• The asymptotic distribution of the trimmed mean
• Asymptotic normality of a variance estimator of a linear combination of a function of order statistics
• Asymptotic Statistics
• Jackknifing L-Statistics with Smooth Weight Functions

This page was built for publication: Asymptotic equivalence of the jackknife and infinitesimal jackknife variance estimators for some smooth statistics