The noncentral Bartlett decompositions and shape densities

DOI10.1016/0047-259X(92)90092-TzbMath0742.62053MaRDI QIDQ1190560

Kanti V. Mardia, Colin R. Goodall

Publication date: 26 September 1992

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

zbMATH Keywords

trigonometric integralsspecial orthogonal groupjoint distributionshape analysismarginal distributionBartlett decompositionQR-decompositionlower triangular matrixnoncentral Wishart distributionintegral over SO(3)integral over the orthogonal groupisotropic Gaussianjoint shape densitymatrix of landmarksProcrustes distancerandom orthogonal transformationssize and shape distribution

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Foundations and philosophical topics in statistics (62A01)

Related Items (max. 100)

Wishart and pseudo-Wishart distributions and some applications to shape theory ⋮ Mean shapes, projections and intrinsic limiting distributions ⋮ Brownian motion and Ornstein-Uhlenbeck processes in planar shape space ⋮ Singular random matrix decompositions: distributions ⋮ Non-Euclidean statistics for covariance matrices, with applications to diffusion tensor imaging ⋮ Wishart and pseudo-Wishart distributions under elliptical laws and related distributions in the shape theory context ⋮ On Fréchet means in simplex shape spaces

Cites Work

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• Statistical Analysis of Spherical Data
• Shape distributions for landmark data
• Linear Statistical Inference and its Applications
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• Some Extensions of the Wishart Distribution
• The Non-Central Wishart Distribution and Certain Problems of Multivariate Statistics
• The non-central Wishart distribution
• A generating function for averages over the orthogonal group

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