It is shown that for a test of a composite hypothesis on the parameter $\theta$ of an exponential family of distributions, mixture stopping rules are almost optimal with respect to certain criteria of optimality and a unique stopping rule is to be found among them which is optimal with respect to another type of optimality.
@article{1176344264,
author = {Pollak, Moshe},
title = {Optimality and Almost Optimality of Mixture Stopping Rules},
journal = {Ann. Statist.},
volume = {6},
number = {1},
year = {1978},
pages = { 910-916},
language = {en},
url = {http://dml.mathdoc.fr/item/1176344264}
}
Pollak, Moshe. Optimality and Almost Optimality of Mixture Stopping Rules. Ann. Statist., Tome 6 (1978) no. 1, pp. 910-916. http://gdmltest.u-ga.fr/item/1176344264/