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Two Sample Test for Extrinsic Antimeans on Kendall Planar Shape Spaces with Applications to Medical Imaging

Author

Listed:
  • Aaid Algahtani

    (King Saud University)

  • Vic Patrangenaru

    (Florida State University)

Abstract

This paper is specialized in deriving a large sample chi-square test for the equality of two extrinsic antimeans on a compact manifolds, using recent limit theorems for extrinsic sample antimeans relative to an arbitrary embedding of a such manifold into an Euclidean space. Applications are given to distributions on planar Kendall shape spaces, in their complex projective space representations, that are Veronese-Whitney embedded in spaces of self-adjoint matrices. Two medical imaging examples are also given.

Suggested Citation

  • Aaid Algahtani & Vic Patrangenaru, 2025. "Two Sample Test for Extrinsic Antimeans on Kendall Planar Shape Spaces with Applications to Medical Imaging," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 87(1), pages 96-113, February.
    • Handle: RePEc:spr:sankha:v:87:y:2025:i:1:d:10.1007_s13171-024-00365-7
    DOI: 10.1007/s13171-024-00365-7
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