Abstract
The main conclusion of this paper can be described as follows. Consider a statistical decision problem in which certain structural conditions are satisfied, and let $T$ be a statistic on the sample space. Then the class of decision functions which depend on the sample point only through $T$ is essentially complete if and only if $T$ is a sufficient statistic. The structural conditions in question are satisfied in many estimation problems.
Citation
R. R. Bahadur. "A Characterization of Sufficiency." Ann. Math. Statist. 26 (2) 286 - 293, June, 1955. https://doi.org/10.1214/aoms/1177728545
Information
