Statistical theory of shape under elliptical models via QR decomposition

DOI10.1080/02331888.2013.801973zbMath1291.62041OpenAlexW2895186054MaRDI QIDQ5169779

José A. Díaz-García, Francisco J. Caro-Lopera

Publication date: 11 July 2014

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2013.801973

zbMATH Keywords

QR decompositionshape theorymaximum likelihood estimatorszonal polynomialsnon-central and non-isotropic shape density

Mathematics Subject Classification ID

Multivariate analysis (62H99) Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05)

Related Items (1)

Statistical theory of shape under elliptical models via polar decompositions

Cites Work

• The efficient evaluation of the hypergeometric function of a matrix argument
• Singular random matrix decompositions: distributions
• Multivariate aspects of shape theory
• Separating latent classes by information criteria
• Noncentral elliptical configuration density
• Modeling by shortest data description
• The Riemannian structure of Euclidean shape spaces: A novel environment for statistics
• Wishart and pseudo-Wishart distributions under elliptical laws and related distributions in the shape theory context
• The statistical analysis of shape data
• A geometrical derivation of the shape density
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples

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