Tail-behavior of estimators and of their one-step versions
Journal de la société française de statistique, Tome 153 (2012) no. 1, pp. 44-51.

Les points de rupture et le comportement des queues sous des échantillons finis sont etudiés pour une classe d’estimateurs equivariants dans le modèle linéaire avec un design fixe. Des résultats du même type sont obtenus pour des itérations de type Newton-Raphson d’un estimateur initial. On démontre que le comportement des queues de ces estimateurs itérés est principalemnt déterminé par celui de l’estimateur initial.

The finite-sample breakdown points and finite-sample tail behavior are studied for a class of equivariant estimators in the linear regression model under a fixed design. The same is considered for the one-step and k -step versions of the estimators, starting with an initial estimator. It is shown that the tail-behavior of the one- and k -step versions of an estimator is determined mainly by that of the initial estimator.

Keywords: breakdown point, equivariant estimator, tail-behavior
Mots-clés : point de rupture, estimateur equivariant, comportement des queues 
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Jurečková, Jana. Tail-behavior of estimators and of their one-step versions. Journal de la société française de statistique, Tome 153 (2012) no. 1, pp. 44-51. http://archive.numdam.org/item/JSFS_2012__153_1_44_0/

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