In the paper we prove a formula for the limit of the difference between the power of the asymptotically optimal test and the power of the asymptotically most powerful test for the case of Laplace distribution.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc90-0-2, author = {Roman A. Korolev and Vladimir E. Bening}, title = {On the power of an asymptotically optimal test for the case of Laplace distribution}, journal = {Banach Center Publications}, volume = {89}, year = {2010}, pages = {27-38}, zbl = {05868786}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc90-0-2} }
Roman A. Korolev; Vladimir E. Bening. On the power of an asymptotically optimal test for the case of Laplace distribution. Banach Center Publications, Tome 89 (2010) pp. 27-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc90-0-2/