An Extended Continuous Mapping Theorem for Outer Almost Sure Weak Convergence

DOI10.1137/S0040585X97T989507zbMath1426.62108OpenAlexW2941397448WikidataQ127394514 ScholiaQ127394514MaRDI QIDQ5232092

Davit Varron

Publication date: 29 August 2019

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t989507

zbMATH Keywords

bootstraplimit theoremsempirical measure

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Nonparametric statistical resampling methods (62G09) Functional limit theorems; invariance principles (60F17)

Cites Work

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• Functional delta-method for the bootstrap of quasi-Hadamard differentiable functionals
• Empirical likelihood confidence tubes for functional parameters in plug-in estimation
• Deriving the asymptotic distribution of \(U\)- and \(V\)-statistics of dependent data using weighted empirical processes
• A modified functional delta method and its application to the estimation of risk functionals
• Bootstrapping general empirical measures
• Bootstrap methods: another look at the jackknife
• Exchangeably weighted bootstraps of the general empirical process
• Un critère sur les petites boules dans le théorème limite central. (A criterion on small balls in the central limit theorem)
• Weak convergence and empirical processes. With applications to statistics

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