Nonparametric Confidence Regions for Veronese-Whitney Means and Antimeans on Planar Kendall Shape Spaces

Abstract

In this paper after a brief revision of VW-means, which are extrinsic means on real and complex projective spaces, relative to the Veronese-Whitney embeddings, we give two examples of sample VW means computations on planar Kendall shape spaces. Here we derive large sample and pivotal nonparametric bootstrap confidence regions for VW-antimeans, using VW-anti-covariance matrices, and their sample counterparts