Modeling shape distributions and inferences for assessing differences in shapes

DOI10.1016/j.jmva.2003.09.013zbMath1063.60016OpenAlexW2000387722MaRDI QIDQ1765614

Athanasios C. Micheas, Dey, Dipak K.

Publication date: 23 February 2005

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2003.09.013

zbMATH Keywords

Markov chain Monte CarloAverage shape differenceComplex elliptical family of distributionsComplex Watson distributionHPD credible setModal shapeShape distributions

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Estimation in multivariate analysis (62H12) Probability distributions: general theory (60E05)

Related Items (9)

Nonparametric combination-based tests in dynamic shape analysis ⋮ Partial size-and-shape distributions ⋮ Bayesian Procrustes analysis with applications to hydrology ⋮ Exploring the variability of DNA molecules via principal geodesic analysis on the shape space ⋮ Assessing shape differences in populations of shapes using the complex watson shape distribution ⋮ Complex elliptical distributions with application to shape analysis ⋮ Distance-based tests for planar shape ⋮ Principal component geodesics for planar shape spaces ⋮ Highly resistant gradient descent algorithm for computing intrinsic mean shape on similarity shape spaces

Cites Work

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• A generalization of the Wishart distribution for the elliptical model and its moments for the multivariate t model
• Biometrics, biomathematics and the morphometric synthesis
• Complex elliptical distributions with application to shape analysis
• The statistical analysis of shape data
• The Complex Watson Distribution and Shape Analysis

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