For discrete statistical models it is shown that any statistic induces a partition of the set of all possible distributions defined on the sample space. This partition identifies the subsets of the parameter space for which the statistic is sufficient.
Bibliographical noteFunding Information:
*Glen Meeden is Professor, Department of Statistics, Iowa State University, Ames, IA 5001 1. Research was supported by National Science Foundation Grant MCS-8401740.
- Discrete probability
- Sufficient statistics