Generalized multivariate rank type test statistics via spatial U-quantiles

DOI10.1016/j.spl.2007.07.010zbMath1131.62053OpenAlexW2006189753MaRDI QIDQ2479330

Weihua Zhou, Robert J. Serfling

Publication date: 26 March 2008

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2007.07.010

zbMATH Keywords

multiple regressionspatial quantilesgeneralized ranksmultivariate dispersion

Mathematics Subject Classification ID

Multivariate analysis (62H99) Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Nonparametric robustness (62G35) Linear regression; mixed models (62J05) Hypothesis testing in multivariate analysis (62H15)

Related Items

Multivariate spatial U-quantiles: A Bahadur-Kiefer representation, a Theil-Sen estimator for multiple regression, and a robust dispersion estimator

Cites Work

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• Generalized order statistics, Bahadur representations, and sequential nonparametric fixed-width confidence intervals
• Multivariate location estimation using extension of \(R\)-estimates through \(U\)-statistics type approach
• A location estimator based on a U-statistic
• On the efficiency of multivariate spatial sign and rank tests
• Nonparametric multivariate descriptive measures based on spatial quantiles
• Multivariate spatial U-quantiles: A Bahadur-Kiefer representation, a Theil-Sen estimator for multiple regression, and a robust dispersion estimator
• On a Geometric Notion of Quantiles for Multivariate Data
• Approximation Theorems of Mathematical Statistics
• Multivariate spatial sign and rank methods
• A Note on Quantiles in Large Samples
• Sequential Confidence Intervals Based on Rank Tests
• Efficient and Robust Fitting of Lognormal Distributions