In this paper, Hampel's concept of qualitative robustness (1968, 1971) is adapted to the problem of estimation by confidence regions. The basic idea is to consider the confidence regions as generalized estimates taking values in the space of compact sets endowed with the Hausdorff metric.
In section 3, the qualitative robustness is analyzed in five particular cases, which include confidence regions and tolerance intervals of common use. Section 4 is devoted to discussion and comments.
@article{urn:eudml:doc:40568,
title = {Robustez cualitativa en regiones de confianza.},
journal = {Trabajos de Estad\'\i stica},
volume = {5},
year = {1990},
pages = {9-22},
zbl = {0743.62026},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40568}
}
Cuevas, Antonio; Sanz, Paloma. Robustez cualitativa en regiones de confianza.. Trabajos de Estadística, Tome 5 (1990) pp. 9-22. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40568/