Geodesic
Asymptotically stable estimators of location and scale parameters I. Estimation of location parameter
Mathematica Applicanda, Tome 16 (1987) no. 30, pp. 65-78.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

A sequence of equivariant estimators of a location parameter, which is asymptotically most robust with respect to bias oscillation function, is derived for two types of disturbances: e-contamination and Kolmogorov-Levy neighbourhoods. The sequence consists of properly chosen order statistics modified by adding a constant. As examples, the most bias-robust estimators for unimodal symmetric, Weibull, double-exponential and beta distributions are presented.
DOI : 10.14708/ma.v16i30.1699
Classification : 62F35
Mots-clés : Robustness and adaptive procedures 
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Tomasz Rychlik. Asymptotically stable estimators of location and scale parameters I. Estimation of location parameter. Mathematica Applicanda, Tome 16 (1987) no. 30, pp.  65-78. doi : 10.14708/ma.v16i30.1699. http://geodesic.mathdoc.fr/articles/10.14708/ma.v16i30.1699/

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