Inference in affine shape theory under elliptical models

DOI10.1016/j.jkss.2013.05.004zbMath1295.60017OpenAlexW2055824422MaRDI QIDQ395938

Francisco J. Caro-Lopera, José A. Díaz-García, Graciela M. González-Farías

Publication date: 7 August 2014

Published in: Journal of the Korean Statistical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jkss.2013.05.004

zbMATH Keywords

zonal polynomialsaffine shape theorymatrix generalized Kummer relationnoncentral elliptical configuration density

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Random matrices (algebraic aspects) (15B52)

Cites Work

• The efficient evaluation of the hypergeometric function of a matrix argument
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• Multivariate aspects of shape theory
• Bessel functions of matrix argument
• Synthesized affine invariant function for 2D shape recognition
• Statistical analysis on manifolds: a nonparametric approach for inference on shape spaces
• On the topology and geometry of spaces of affine shapes
• Separating latent classes by information criteria
• Noncentral elliptical configuration density
• Modeling by shortest data description
• Size\,-\,and\,-\,shape cone, shape disk and configuration densities for the elliptical models
• The statistical theory of shape
• Directions and projective shapes
• Parametric estimation of affine deformations of planar shapes
• A Penalized Likelihood Approach to Image Warping
• A formula for Jack polynomials of the second order
• Bayesian Measures of Model Complexity and Fit
• Distributions of projective invariants and model-based machine vision
• Bayes Factors
• An efficient fuzzy algorithm for aligning shapes under affine transformations
• Shape similarity retrieval under affine transforms
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