On robustness properties of bootstrap approximations

DOI10.1016/0378-3758(93)90087-MzbMath0787.62047OpenAlexW1988938849MaRDI QIDQ1314490

Antonio Cuevas, Juan J. Romo

Publication date: 19 May 1994

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(93)90087-m

zbMATH Keywords

robustnessprobability metricsuniform continuitysufficient conditionqualitative robustness\(M\)-estimatorsbootstrap approximationsuniform Glivenko-Cantelli convergenceuniformity of the empirical distribution convergence

Mathematics Subject Classification ID

Nonparametric robustness (62G35) Nonparametric statistical resampling methods (62G09)

Related Items

Asymptotic stability of empirical processes and related functionals, On the robustness of regularized pairwise learning methods based on kernels, Qualitative robustness of statistical functionals under strong mixing

Cites Work

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• Von Mises calculus for statistical functionals
• Uniform and universal Glivenko-Cantelli classes
• Bootstrapping general empirical measures
• The bootstrap: Some large sample theory and connections with robustness
• Qualitative robustness for stochastic processes
• Qualitative robustness in abstract inference
• Qualitative robustness of rank tests
• Qualitative Robustness of Tests
• Real Analysis and Probability
• A General Qualitative Definition of Robustness
• Robust Statistics
• The bootstrap and Edgeworth expansion