The law of the iterated logarithm for \(U\)-processes
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Publication:689373
DOI10.1006/JMVA.1993.1075zbMath0780.60030OpenAlexW2046870107MaRDI QIDQ689373
Publication date: 6 December 1993
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmva.1993.1075
Asymptotic distribution theory in statistics (62E20) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
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\(U\)-processes indexed by Vapnik-Červonenkis classes of functions with applications to asymptotics and bootstrap of \(U\)-statistics with estimated parameters ⋮ Some strong limit theorems for M-estimators ⋮ On the law of the iterated logarithm for canonical \(U\)-statistics and processes ⋮ Quantile regression with censoring and sample selection ⋮ Sequential estimation of censored quantile regression models ⋮ Moderate and large deviations for \(U\)-processes ⋮ The Bahadur-Kiefer representation for \(U\)-quantiles ⋮ \(U\)-processes, \(U\)-quantile processes and generalized linear statistics of dependent data ⋮ On the uniform-in-bandwidth consistency of the general conditionalU-statistics based on the copula representation
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