INDEPENDENCE AND STATISTICAL REDUCTION FOR INVARIANT MODELS.
WISCONSIN UNIV MADISON DEPT OF STATISTICS
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A theorem is derived, proving the independence of minimal sufficient statistics and the natural ancillary statistic for a class of invariant models. The theorem is applied to prove the equivalence of different methods of reducing statistical models, e.g. invariance reductions and sufficiency-followed-by-invariance reductions. Author
- Statistics and Probability