The Bahadur-Kiefer representation for \(U\)-quantiles
type: Item
instance of: scholarly article
title: The Bahadur-Kiefer representation for \(U\)-quantiles
zbMATH Open document ID: 0862.62044
author: Miguel A. Arcones
published in: The Annals of Statistics
publication date: 1996-12-01T00:00:00Z
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 62E20
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 951880
zbMATH Keywords: \(U\)-quantiles
zbMATH Keywords: empirical process of \(U\)-statistic structure
zbMATH Keywords: Bahadur-Kiefer representation
zbMATH Keywords: local variance
zbMATH Keywords: differentiable statistical functionals
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1032526976
OpenAlex ID: W2035497303
cites work: Central limit theorems for stochastic processes under random entropy conditions
cites work: The central limit theorem for stochastic processes
cites work: The law of the iterated logarithm for \(U\)-processes
cites work: Some strong limit theorems for M-estimators
cites work: On the law of the iterated logarithm for canonical \(U\)-statistics and processes
cites work: Theory of Reproducing Kernels
cites work: Q3051226
cites work: On almost sure expansions for M-estimates
cites work: Generalized order statistics, Bahadur representations, and sequential nonparametric fixed-width confidence intervals
cites work: On the Asymptotic Theory of Fixed-Width Sequential Confidence Intervals for the Mean
cites work: Q3139496
cites work: The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
cites work: Q3217346
cites work: Fréchet differentiability, \(p\)-variation and uniform Donsker classes
cites work: The order of the remainder in derivatives of composition and inverse operators for \(p\)-variation norms
cites work: Sequential Confidence Intervals Based on Rank Tests
cites work: Weak and strong representations for trimmed U-statistics
cites work: Glivenko-Cantelli properties of some generalized empirical DF's and strong convergence of generalized L-statistics
cites work: Asymptotic normality for a general class of statistical functions and applications to measures of spread
cites work: Asymptotic representation ofM-estimators of location
cites work: A second-order asymptotic distributional representation of M-estimators with discontinuous score functions
cites work: On Bahadur's Representation of Sample Quantiles
cites work: A strong convergence theorem for Banach space valued random variables
cites work: Q4125587
cites work: Random Fourier Series with Applications to Harmonic Analysis. (AM-101)
cites work: Convergence of stochastic processes
cites work: Approximation Theorems of Mathematical Statistics
cites work: Generalized L-, M-, and R-statistics
cites work: On the uniform Bahadur-Kiefer representation
DOI: 10.1214/AOS/1032526976
description: scientific article; zbMATH DE number 951880