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Generalized multivariate rank type test statistics via spatial U-quantiles

, and . Statistics & Probability Letters, 78 (4): 376--383 (March 2008)

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Depth functions in nonparametric multivariate inference.. Data Depth: Robust Multivariate Analysis, Computational Geometry and Applications, volume 72 of DIMACS Series in Discrete Mathematics and Theoretical Computer Science, page 1-16. DIMACS/AMS, (2003)Asymptotic Relative Efficiency in Estimation. page 68--72. Springer Berlin Heidelberg, Berlin, Heidelberg, (2011)Poisson approximations in selected metrics by coupling and semigroup methods with applications, , , and . Journal of Statistical Planning and Inference, 20 (1): 1--22 (1988)Asymptotic normality of u-statistics based on trimmed samples, , and . Journal of Statistical Planning and Inference, (1987)U-statistics on a lattice of I.I.D. random variables, and . Statistics & Probability Letters, 40 (3): 293--303 (Oct 15, 1998)On scale curves for nonparametric description of dispersion., and . Data Depth: Robust Multivariate Analysis, Computational Geometry and Applications, volume 72 of DIMACS Series in Discrete Mathematics and Theoretical Computer Science, page 37-48. DIMACS/AMS, (2003)Nonparametric multivariate descriptive measures based on spatial quantiles. Journal of Statistical Planning and Inference, 123 (2): 259--278 (Jul 1, 2004)U-statistics on winsorized and trimmed samples, , and . Statistics & Probability Letters, 9 (5): 439--447 (May 1990)Multivariate spatial U-quantiles: A Bahadur-Kiefer representation, a Theil-Sen estimator for multiple regression, and a robust dispersion estimator, and . Journal of Statistical Planning and Inference, 138 (6): 1660--1678 (Jul 1, 2008)Generalized multivariate rank type test statistics via spatial U-quantiles, and . Statistics & Probability Letters, 78 (4): 376--383 (March 2008)