Functional delta-method for the bootstrap of quasi-Hadamard differentiable functionals

DOI10.1214/16-EJS1140zbMath1338.62073arXiv1510.06207OpenAlexW2963848559MaRDI QIDQ286218

Eric Beutner, Henryk Zähle

Publication date: 20 May 2016

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.06207

zbMATH Keywords

bootstrapfunctional delta-methodquasi-Hadamard differentiabilitystatistical functionalweak convergence for the open-ball \(\sigma\)-algebra

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30)

Related Items (8)

Bootstrap consistency and bias correction in the nonparametric estimation of risk measures of collective risks ⋮ Functional weak limit theorem for a local empirical process of non-stationary time series and its application ⋮ Statistical Inference for Expectile‐based Risk Measures ⋮ An Extended Continuous Mapping Theorem for Outer Almost Sure Weak Convergence ⋮ Asymptotic linear expansion of regularized M-estimators ⋮ Moving block and tapered block bootstrap for functional time series with an application to the \(K\)-sample mean problem ⋮ TEST FOR CHANGES IN THE MODELED SOLVENCY CAPITAL REQUIREMENT OF AN INTERNAL RISK MODEL ⋮ Donsker results for the empirical process indexed by functions of locally bounded variation and applications to the smoothed empirical process

Uses Software

• bootlib

Cites Work

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• 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
• Stationarity and geometric ergodicity of BEKK multivariate GARCH models
• Asymptotics for statistical functionals of long-memory sequences
• Dependent multiplier bootstraps for non-degenerate \(U\)-statistics under mixing conditions with applications
• Bootstrapping general empirical measures
• Central limit theorem and the bootstrap for \(U\)-statistics of strongly mixing data
• The bootstrap: Some large sample theory and connections with robustness
• Some asymptotic theory for the bootstrap
• On the bootstrap of \(U\) and \(V\) statistics
• Bootstrap methods: another look at the jackknife
• Comonotonicity, correlation order and premium principles
• Central limit theorems for empirical and \(U\)-processes of stationary mixing sequences
• Weighted bootstrapping of \(U\)-statistics
• Non-additive measure and integral
• Validity of blockwise bootstrap for empirical processes with stationary observations
• Blockwise bootstrapped empirical process for stationary sequences
• Differentiable functionals and smoothed bootstrap
• The bootstrap for empirical processes based on stationary observations
• Resampling methods for dependent data
• The jackknife and the bootstrap for general stationary observations
• The jackknife and bootstrap
• The blockwise bootstrap for general empirical processes of stationary sequences
• Weak convergence and empirical processes. With applications to statistics
• Weak convergence of the weighted sequential empirical process of some long-range dependent data
• Quasi-Hadamard differentiability of general risk functionals and its application
• A general approach to the joint asymptotic analysis of statistics from sub-samples
• Continuous mapping approach to the asymptotics of \(U\)- and \(V\)-statistics
• Introduction to empirical processes and semiparametric inference
• Measures on non-separable metric spaces
• Weak convergence of probabilities on nonseparable metric spaces and empirical measures on Euclidean spaces
• Uniform Central Limit Theorems
• Real Analysis and Probability
• Large Sample Behavior of the CTE and VaR Estimators under Importance Sampling
• Dependent Wild Bootstrap for the Empirical Process
• The Dependent Wild Bootstrap
• Statistical Inference for Expectile‐based Risk Measures
• Probability theory. A comprehensive course
• Convergence of stochastic processes

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