Statistica Sinica 13(2003), 1269-1280

ON PARTIAL SUFFICIENCY AND INVARIANCE

Jesús Montanero, Agustín G. Nogales, José A. Oyola and Paloma Pérez

Universidad de Extremadura

Abstract: This paper studies the relationship between partial sufficiency (in the sense of Fraser) and invariance, both in terms of $\sigma$-fields and of statistics, with application of the main result to the problem of testing statistical hypotheses. Some examples are given to illustrate these results.

Key words and phrases: Invariance, partial sufficiency, sufficiency.