Asymptotically efficient two-sample rank tests for modal directions on spheres

DOI10.1016/j.jmva.2008.05.009zbMath1154.62038OpenAlexW2061720278MaRDI QIDQ1000572

Ming-Tien Tsai

Publication date: 9 February 2009

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2008.05.009

zbMATH Keywords

directional and axial dataoptimal spherical rank testrandomly weighted spherical distancerotation-equivariancespherical Wilcoxon rank test

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15)

Related Items (6)

Asymptotic Pitman's Relative Efficiency ⋮ Efficient ANOVA for directional data ⋮ Recent advances in directional statistics ⋮ On efficiency and robustness of estimators for a spherical location ⋮ Methods for improving estimators of truncated circular parameters ⋮ Robustness of tests for directional mean

Cites Work

• The small sample distribution of a Mann-Whitney type statistic for circular data
• Permutation tests for directional data
• Locally best rotation-invariant rank tests for modal location
• Invariant tests for uniformity on compact Riemannian manifolds based on Sobolev norms
• Asymptotic relative Pitman efficiency in group models.
• Nonparametric comparison of mean directions or mean axes
• The Efficiency of Some Nonparametric Competitors of the $t$-Test
• A Unified View of the Theory of Directional Statistics, 1975-1988
• A nonparametric correlation coefficient and a two-sample test for random vectors or directions
• Bahadur Efficiency and Small-Sample Efficiency
• A practical affine equivariant multivariate median
• On Some Asymptotically Nonparametric Competitors of Hotelling's $T^{2 1}$
• On a Class of Rank Order Tests for Regression with Partially Informed Stochastic Predictors
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