\(L\)-statistics in complex survey problems

DOI10.1214/aos/1176325505zbMath0807.62007OpenAlexW2047334955MaRDI QIDQ1339701

Jun Shao

Publication date: 1 March 1995

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

Full work available at URL: https://doi.org/10.1214/aos/1176325505

zbMATH Keywords

asymptotic normalityvariance estimationasymptotic variancesLorenz curvesample quantilesjackknifinglinear combinations of order statisticsfinite population distributionGini's familynonsmooth \(L\)- statisticssmooth \(L\)-statisticsstratified multistage sampling designtrimmed sample mean

Mathematics Subject Classification ID

Sampling theory, sample surveys (62D05) Order statistics; empirical distribution functions (62G30) Nonparametric statistical resampling methods (62G09)

Related Items (15)

Robust, distribution-free inference for income share ratios under complex sampling ⋮ ASYMPTOTIC ESTIMATION OF THE E-GINI INDEX ⋮ Jackknife empirical likelihood-based inferences for Lorenz curve with kernel smoothing ⋮ An Edgeworth expansion for finite-population \(L\)-statistics ⋮ Order statistics based on a combined simple random sample from a finite population and applications to inference ⋮ Asymptotic properties of sample quantiles from a finite population ⋮ Hierarchical Bayesian estimation of inequality measures with nonrectangular censored survey data with an application to wealth distribution of French households ⋮ Contrasting the Gini and Zenga indices of economic inequality ⋮ On the asymptotic normality of finite population \(L\)-statistics ⋮ On the estimation of the distribution function of a finite population under high entropy sampling designs, with applications ⋮ Moments ofL-Statistics: A Divided Differences Approach ⋮ A note on the bias and consistency of the jackknife variance estimator in stratified samples ⋮ Invited Discussion Paper Resampling Methods in Sample Surveys ⋮ Inference for Quantiles of a Finite Population: Asymptotic versus Resampling Results ⋮ Rate of convergence of the asymptotic normality of sample quantiles from a finite population

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