Approximating the matrix Fisher and Bingham distributions: Applications to spherical regression and Procrustes analysis
type: Item
instance of: scholarly article
title: Approximating the matrix Fisher and Bingham distributions: Applications to spherical regression and Procrustes analysis
zbMATH Open document ID: 0746.62056
DOI: 10.1016/0047-259X(92)90072-N
author: Christopher Bingham
author: Donald Richards
author: Ted Chang
published in: Journal of Multivariate Analysis
publication date: 1992-09-27T00:00:00Z
Mathematics Subject Classification ID: 62H10
Mathematics Subject Classification ID: 62E20
Mathematics Subject Classification ID: 33C90
Mathematics Subject Classification ID: 62A01
Mathematics Subject Classification ID: 86A60
Mathematics Subject Classification ID: 62P99
zbMATH DE Number: 63384
zbMATH Keywords: estimated rotations
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: tectonic plate reconstructions
zbMATH Keywords: beef carcasses
zbMATH Keywords: zonal polynomials
zbMATH Keywords: hypergeometric functions of matrix argument
zbMATH Keywords: approximations
zbMATH Keywords: matrix Fisher distributions
zbMATH Keywords: \(SO(p)\)
zbMATH Keywords: \(O(p)\)
zbMATH Keywords: Haar measure
zbMATH Keywords: Bingham distribution
zbMATH Keywords: unit sphere
zbMATH Keywords: Euclidean \(p\)-dimensional space
zbMATH Keywords: exact conditional distribution
zbMATH Keywords: maximum likelihood estimate
zbMATH Keywords: spherical regression model
zbMATH Keywords: Procrustes analysis
zbMATH Keywords: confidence region
zbMATH Keywords: unknown rotation
MaRDI profile type: Publication
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full work available at URL: 0047-259x(92)90072-n
OpenAlex ID: W1987421743
description: scientific article; zbMATH DE number 63384