The maximum likelihood scale invariant estimator of the shape parameter of the gamma distribution, proposed by the authors [Statist. Probab. Lett. 78 (2008)], is considered. The asymptotics of the mean square error of this estimator, with respect to that of the usual maximum likelihood estimator, is established.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am35-1-2, author = {A. Zaigraev and A. Podraza-Karakulska}, title = {On asymptotics of the maximum likelihood scale invariant estimator of the shape parameter of the gamma distribution}, journal = {Applicationes Mathematicae}, volume = {35}, year = {2008}, pages = {33-47}, zbl = {1139.62014}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am35-1-2} }
A. Zaigraev; A. Podraza-Karakulska. On asymptotics of the maximum likelihood scale invariant estimator of the shape parameter of the gamma distribution. Applicationes Mathematicae, Tome 35 (2008) pp. 33-47. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am35-1-2/