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

Other Statistics 2018-10-17 v2

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

Keywords

Cite

@article{arxiv.1806.08683,
  title  = {Nonparametric Confidence Regions for Veronese-Whitney Means and Antimeans on Planar Kendall Shape Spaces},
  author = {Yunfan Wang and Vic Patrangenaru},
  journal= {arXiv preprint arXiv:1806.08683},
  year   = {2018}
}

Comments

19 pages, 12 figures