For the problem of empirical Bayes classification into two known probability distributions on a finite outcome space, an essentially complete class of procedures is determined. This class is proven to be minimal essentially complete if there are only two possible outcomes.
@article{1176343749,
author = {Snijders, Tom},
title = {Complete Class Theorems for the Simplest Empirical Bayes Decision Problems},
journal = {Ann. Statist.},
volume = {5},
number = {1},
year = {1977},
pages = { 164-171},
language = {en},
url = {http://dml.mathdoc.fr/item/1176343749}
}
Snijders, Tom. Complete Class Theorems for the Simplest Empirical Bayes Decision Problems. Ann. Statist., Tome 5 (1977) no. 1, pp. 164-171. http://gdmltest.u-ga.fr/item/1176343749/