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/