A measurable cross-section for orbits of a sample space under a free (exact) transformation group is shown to exist under topological regularity conditions. This is used to represent the sample space as essentially the product of a maximal invariant and an equivariant part, which implies Stein's representation for the density of the maximal invariant.
Publié le : 1976-09-14
Classification:
Cross-section of orbits,
disintegration of measure,
maximal invariant,
62A05,
28A50,
57E20
@article{1176343585,
author = {Bondar, James V.},
title = {Borel Cross-Sections and Maximal Invariants},
journal = {Ann. Statist.},
volume = {4},
number = {1},
year = {1976},
pages = { 866-877},
language = {en},
url = {http://dml.mathdoc.fr/item/1176343585}
}
Bondar, James V. Borel Cross-Sections and Maximal Invariants. Ann. Statist., Tome 4 (1976) no. 1, pp. 866-877. http://gdmltest.u-ga.fr/item/1176343585/