Abstract

Partial sufficiency with connection to the identification probem

OULHAJ, A. and M. MOUCHART

Let be a parametrized statistical model and be a non-injective function characterizing a parameter of interest. The basic idea of partial sufficiency is to find a (minimal) statistic sufficient for making inference on . Following Fraser (1956), Barndorff-Nielsen (1978) has defined a concept of S-sufficiency. Our contribution is first to establish the connection between S-sufficiency and the identification concept. Second, we establish some properties of S-sufficiency, in particular we compare the properties of sufficiency for the complete parameter with those of S-sufficiency.

  Last update: January 9, 2004  - Contact : S. Malali