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

Aaid Algahtani () and Vic Patrangenaru ()
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Aaid Algahtani: King Saud University
Vic Patrangenaru: Florida State University

Sankhya A: The Indian Journal of Statistics, 2025, vol. 87, issue 1, No 4, 96-113

Abstract: 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.

Keywords: Fréchet function; extrinsic antimean; Kendall planar shape space; random object; Veronese Whitney embedding of a complex projective space; 62R30; 62G20; 62H15 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13171-024-00365-7

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