Nonparametric comparison of mean directions or mean axes

DOI10.1214/aos/1028144845zbMath0934.62057OpenAlexW2014927261MaRDI QIDQ1807082

Rudolf Beran, Nicholas I. Fisher

Publication date: 9 November 1999

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

Full work available at URL: https://doi.org/10.1214/aos/1028144845

zbMATH Keywords

bootstrapsimultaneous confidence setssimultaneous testsrotational difference

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Nonparametric hypothesis testing (62G10) Nonparametric tolerance and confidence regions (62G15)

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Extrinsic Means and Antimeans, Nonparametric estimation of trend in directional data, Efficient ANOVA for directional data, A central limit theorem for extrinsic antimeans and estimation of Veronese-Whitney means and antimeans on planar Kendall shape spaces, Nonparametric two-sample tests on homogeneous Riemannian manifolds, Cholesky decompositions and diffusion tensor image analysis, Random change on a Lie group and mean glaucomatous projective shape change detection from stereo pair images, Large sample theory of intrinsic and extrinsic sample means on manifolds. I, Two sample tests for mean 3D projective shapes from digital camera images, Asymptotic data analysis on manifolds, Asymptotically efficient two-sample rank tests for modal directions on spheres, The impact of the bootstrap on statistical algorithms and theory, Large sample theory of intrinsic and extrinsic sample means on manifolds. II., Directions and projective shapes

Cites Work

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• Refining Bootstrap Simultaneous Confidence Sets
• The bootstrap and Edgeworth expansion