The concept of robustness given by Zieliński (1977) is considered in cases where violations of models are generated by weight functions. Uniformly most bias-robust estimates of the scale parameter, based on order statistics, are obtained for some statistical models. Extensions of results of Zieliński (1983) and Bartoszewicz (1986) are given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am34-1-3,
author = {Pawe\l\ B\l a\.zej},
title = {Robust estimation of the scale and weighted distributions},
journal = {Applicationes Mathematicae},
volume = {34},
year = {2007},
pages = {29-38},
zbl = {1114.62031},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-1-3}
}
Paweł Błażej. Robust estimation of the scale and weighted distributions. Applicationes Mathematicae, Tome 34 (2007) pp. 29-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-1-3/