Symmetric distributions for dependent unit vectors
type: Item
instance of: scholarly article
title: Symmetric distributions for dependent unit vectors
zbMATH Open document ID: 0545.62036
author: Louis-Paul Rivest
published in: The Annals of Statistics
publication date: 1984-01-01T00:00:00Z
review text: In this work the author generalizes the definitions of symmetry given in his paper reviewed above, Zbl 0545.62035, for the joint distribution of two dependent unit vectors and introduces bivariate generalization of D- symmetry and rotational symmetry. If the joint distribution of the two unit vectors is at least D-symmetric the information matrix for the parameters indexing it is shown to have a simple shape.
Mathematics Subject Classification ID: 62H05
Mathematics Subject Classification ID: 62F12
Mathematics Subject Classification ID: 62H20
Mathematics Subject Classification ID: 62F10
Mathematics Subject Classification ID: 62H12
zbMATH DE Number: 3868436
zbMATH Keywords: directional data
zbMATH Keywords: joint distribution of two dependent unit vectors
zbMATH Keywords: bivariate generalization of D-symmetry
zbMATH Keywords: rotational symmetry
zbMATH Keywords: information matrix
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1176346720
OpenAlex ID: W2039613423
DOI: 10.1214/AOS/1176346720
description: scientific article; zbMATH DE number 3868436