The Fréchet mean shape and the shape of the means

DOI10.1239/aap/1013540025zbMath0961.60020OpenAlexW2044196246MaRDI QIDQ4493510

Huiling Le, Alfred Kume

Publication date: 19 September 2000

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1013540025

zbMATH Keywords

Riemannian metricKendall's shape spaceBookstein's shape space

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05)

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Statistical regression analysis of functional and shape data ⋮ Elastic statistical analysis of interval-valued time series ⋮ Local regression smoothers with set-valued outcome data ⋮ Nonparametric estimation of means on Hilbert manifolds and extrinsic analysis of mean shapes of contours ⋮ Mean shapes, projections and intrinsic limiting distributions ⋮ Large sample theory of intrinsic and extrinsic sample means on manifolds. I ⋮ Limit theorems for Fréchet mean sets ⋮ Topological learning for brain networks ⋮ On the consistency of Fréchet means in deformable models for curve and image analysis ⋮ Statistical analysis of trajectories on Riemannian manifolds: bird migration, hurricane tracking and video surveillance ⋮ Principal arc analysis on direct product manifolds ⋮ On Fréchet means in simplex shape spaces ⋮ Phase-Amplitude Separation and Modeling of Spherical Trajectories ⋮ Bayesian linear size-and-shape regression with applications to face data ⋮ Regression Modeling for Size-and-Shape Data Based on a Gaussian Model for Landmarks

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