Empirical processes associated with V-statistics and a class of estimators under random censoring

DOI10.1214/aos/1176349942zbMath0603.62046OpenAlexW1980250440MaRDI QIDQ1082745

Michael G. Akritas

Publication date: 1986

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176349942

zbMATH Keywords

weak convergenceasymptotic behaviorempirical processesquantile processesrandom censoringinvariance principleKaplan-Meier estimatorright censored dataV-statisticsL-statisticstwo-way ANOVAgeneralized Hodges-Lehmann estimatorkernel transform

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30)

Related Items (15)

A class of hodges -lehmann type estimators for censored data ⋮ Quantile estimation of treatment effect for the two-sample problem with right censored data ⋮ The estimation of treatment effect for the censored bivariate data under the univariate censoring ⋮ Asymptotic Properties of Generalized Multivariate Rank Statistics ⋮ Asymptotic normality of generalized L-statistics with unbounded scores ⋮ Asymptotic distributions for a class of generalized \(L\)-statistics ⋮ A simple quantile approach to the two-sample location-scale problem with random censorship ⋮ Weak convergence of sequences of first passage processes and applications ⋮ Berry-Esseen type bounds for trimmed \(U\)-statistics ⋮ Estimation by method of moment under two-sample location–scale model with random censorship ⋮ U-statistics with conditional kernels for incomplete data models ⋮ Semiparametric Estimation for Two-Sample Location-Scale Models under Type I Censorship ⋮ Estimation of the treatment effect for the survival time data ⋮ Inverse Probability of Censoring Weighted U-statistics for Right-Censored Data with an Application to Testing Hypotheses ⋮ Asymptotic properties of inverse probability of censored weighted U-empirical process for right-censored data with applications

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