Another approach to asymptotics and bootstrap of randomly trimmed means

DOI10.1007/BF02506489zbMath1162.62356MaRDI QIDQ2581127

Yanyan Li

Publication date: 13 January 2006

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

zbMATH Keywords

median absolute deviationRandomly trimmed means

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Nonparametric statistical resampling methods (62G09)

Related Items (3)

Exponential probability inequality and convergence results for the median absolute deviation and its modifications ⋮ Bahadur representations for the median absolute deviation and its modifications ⋮ Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces

Cites Work

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• Limit theorems for the median deviation
• On the bootstrap and the trimmed mean
• The metrically trimmed mean as a robust estimator of location
• Asymptotic independence of median and MAD
• On locally uniformly linearizable high breakdown location and scale functionals
• Random means
• Large sample confidence regions based on subsamples under minimal assumptions
• Weak convergence and empirical processes. With applications to statistics
• The asymptotic distribution of the trimmed mean
• The Breakdown Points of the Mean Combined with Some Rejection Rules
• The Influence Curve and Its Role in Robust Estimation
• Uniform Central Limit Theorems
• A General Qualitative Definition of Robustness
• Robust Statistics
• Convergence of stochastic processes

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