Asymptotic normality of linear functions of concomitants of order statistics

DOI10.1007/BF02613140zbMath0629.62021MaRDI QIDQ1094022

B. George

Publication date: 1987

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/176110

zbMATH Keywords

asymptotic normalityauxiliary model approachfinite populationsampling designincome inequalityempirical distributionL-statisticsweighted empirical distributionlinear functions of concomitants of order statisticsstochastic Gateaux differential

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Sampling theory, sample surveys (62D05) Order statistics; empirical distribution functions (62G30)

Related Items (3)

A family of non-parametric tests for decreasing mean time to failure with censored data ⋮ Income inequality measures based on sample surveys ⋮ Non-parametric inference for Gini covariance and its variants

Cites Work

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• Income inequality measures based on sample surveys
• On linear estimates defined by a continuous weight function
• A differential for L-statistics
• Approximation Theorems of Mathematical Statistics
• Linear Functions of Concomitants of Order Statistics with Application to Nonparametric Estimation of a Regression Function
• Weak Convergence of a Two-sample Empirical Process and a New Approach to Chernoff-Savage Theorems
• Some Convergence Theorems for Ranks and Weighted Empirical Cumulatives
• Some Multivariate Chebyshev Inequalities with Extensions to Continuous Parameter Processes

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