Date of this Version
The Annals of Statistics
We prove in a discrete setting that if for all test functions, t, there is a B measurable test function, s, such that Ep(t)=Ep(s) for all p ∈ P then some subfield of B is sufficient for P.
sufficiency, test function sufficiency
Brown, L. D. (1975). On a Theorem of Morimoto Concerning Sufficiency for Discrete Distributions. The Annals of Statistics, 3 (5), 1180-1182. http://dx.doi.org/10.1214/aos/1176343249
Date Posted: 27 November 2017
This document has been peer reviewed.