An asymptotic expression is given for the $\log$ error probability of a sequential test based on a random walk. This may be used to compute limiting relative efficiencies of such tests. The results are illustrated for the one-sided normal testing problem with an asymptotic Bayes test due to Schwarz. Some numerical comparisons are given for five sequential tests of a normal mean.
@article{1176344254,
author = {Berk, Robert H.},
title = {Asymptotic Efficiencies of Sequential Tests II},
journal = {Ann. Statist.},
volume = {6},
number = {1},
year = {1978},
pages = { 813-819},
language = {en},
url = {http://dml.mathdoc.fr/item/1176344254}
}
Berk, Robert H. Asymptotic Efficiencies of Sequential Tests II. Ann. Statist., Tome 6 (1978) no. 1, pp. 813-819. http://gdmltest.u-ga.fr/item/1176344254/