A central limit theorem for extrinsic antimeans and estimation of Veronese-Whitney means and antimeans on planar Kendall shape spaces

DOI10.1016/j.jmva.2020.104600zbMath1440.62408OpenAlexW3009487753MaRDI QIDQ2181714

Ruite Guo, Yunfan Wang, Victor Patrangenaru

Publication date: 19 May 2020

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

Full work available at URL: https://doi.org/10.1016/j.jmva.2020.104600

zbMATH Keywords

nonparametric bootstrapcomplex projective spacestatistics on manifoldsrandom objectextrinsic antimeanKendall planar shape spaceVeronese-Whitney embedding

Mathematics Subject Classification ID

Statistics on manifolds (62R30) Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Image analysis in multivariate analysis (62H35) Nonparametric statistical resampling methods (62G09)

Related Items (4)

Comments on: ``Recent advances in directional statistics ⋮ Modeling Time-Varying Random Objects and Dynamic Networks ⋮ Test for homogeneity of random objects on manifolds with applications to biological shape analysis ⋮ Extrinsic regression and anti-regression on projective shape manifolds

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