This paper introduces several notions of symmetry for the joint distribution of two dependent unit vectors. Bivariate generalizations of $\mathscr{L}$-symmetry (Rivest, 1984) and rotational symmetry are introduced. If the joint distribution of two unit vectors is at least $\mathscr{L}$-symmetric the information matrix for the parameters indexing it is shown to have a simple shape.
Publié le : 1984-09-14
Classification:
Fisher information matrix,
rotational symmetry,
directional data,
62F10,
62F12,
62H20
@article{1176346720,
author = {Rivest, Louis-Paul},
title = {Symmetric Distributions for Dependent Unit Vectors},
journal = {Ann. Statist.},
volume = {12},
number = {1},
year = {1984},
pages = { 1050-1057},
language = {en},
url = {http://dml.mathdoc.fr/item/1176346720}
}
Rivest, Louis-Paul. Symmetric Distributions for Dependent Unit Vectors. Ann. Statist., Tome 12 (1984) no. 1, pp. 1050-1057. http://gdmltest.u-ga.fr/item/1176346720/