Erschienen in:
Open Access 2011 | OriginalPaper | Buchkapitel
On Sufficiency and Invariance
It is shown that in many situations the principle of invariance is strong enough to lead us to the standard reductions. For instance, given
η
inde-pendent observations
on
a normal variable with unknown mean (the nuisance parameter) and unknown variance, it is shown how the principle of invariance alone can reduce the data to the sample variance.