Some basic results about invariance are given using quotient σ-fields. A strong kind of invariance is considered. Under appropriate conditions we obtain a sufficient statistics for models with such an invariance property.
@article{urn:eudml:doc:40346, title = {Statistical models strongly-invariant under the action of a group.}, journal = {Q\"uestii\'o}, volume = {14}, year = {1990}, pages = {3-9}, mrnumber = {MR1114048}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40346} }
García Nogales, Agustín. Statistical models strongly-invariant under the action of a group.. Qüestiió, Tome 14 (1990) pp. 3-9. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40346/