Shape changes in the plane for landmark data

DOI10.1214/aos/1034713642zbMath0858.62039OpenAlexW2045120767MaRDI QIDQ1922374

Michael J. Prentice, Kanti V. Mardia

Publication date: 1 September 1996

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1034713642

zbMATH Keywords

configurationfrequency domain methodspherical regressionunitary matricesHermitian inner productcomplex projective planeasymptotic inference procedurescomplex rotation matrixconfigurations of landmarksmatched pairs of shapesshape changes

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Directional data; spatial statistics (62H11)

Related Items (5)

Large sample theory of intrinsic and extrinsic sample means on manifolds. I ⋮ Deconvolution density estimation on \(\text{SO}(N)\) ⋮ Spherical Regression Models Using Projective Linear Transformations ⋮ Large sample theory of intrinsic and extrinsic sample means on manifolds. II. ⋮ Directions and projective shapes

Cites Work

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• Spherical regression for concentrated Fisher-von Mises distributions
• Spherical regression with errors in variables
• A distribution-free method of interval estimation for unsigned directional data
• Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
• Statistical Analysis of Spherical Data
• A general correlation coefficient for directional data and related regression problems
• Vector correlation
• Shape distributions for landmark data
• Shape analysis of paired landmark data
• Size-and-shape distributions for paired landmark data
• Spherical regression

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