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Bibliografie

Journal Article

Robust estimators based on generalization of trimmed mean

Adam Lukáš, Bejda P.

: Communications in Statistics - Simulation and Computation vol.47, 7 (2018), p. 2139-2151

: Breakdown point, Estimators, Geometric median, Location, Trimmed mean

: 10.1080/03610918.2017.1337136

: http://library.utia.cas.cz/separaty/2017/MTR/adam-0481224.pdf

(eng): In this article, we propose new estimators of location. These estimators select a robust set around the geometric median, enlarge it, and compute the (iterative) weighted mean from it. By doing so, we obtain a robust estimator in the sense of the breakdown point, which uses more observations than standard estimators. We apply our approach on the concepts of boxplot and bagplot. We work in a general normed vector space and allow multi-valued estimators.

: BA

: 10101