It is customary to use a conditional test-statistic when testing for one parameter in a two-parameter exponential family model, the other parameter being considered as a nuisance parameter. In this note we discuss the Bahadur efficiency of such a conditional test and illustrate the results with examples from a branching process, a pure birth process, and a stable process.
@article{1176345209,
author = {Basawa, I. V.},
title = {Remarks on Bahadur Optimality of Conditional Tests},
journal = {Ann. Statist.},
volume = {8},
number = {1},
year = {1980},
pages = { 1382-1387},
language = {en},
url = {http://dml.mathdoc.fr/item/1176345209}
}
Basawa, I. V. Remarks on Bahadur Optimality of Conditional Tests. Ann. Statist., Tome 8 (1980) no. 1, pp. 1382-1387. http://gdmltest.u-ga.fr/item/1176345209/