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Comparison of the bias of trimmed and Winsorized means

Mariusz Bieniek

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 22, 6641-6650

Abstract: We derive sharp upper and lower projection bounds on the bias of two-sided Winsorized means. To determine the projection of appropriate function, we consider new analytic condition which describes the form of the corresponding greatest convex minorant. Then we compare numerically obtained bounds for trimmed and Winsorized means. We conclude that if we have no information about the underlying distribution then Winsorized means are better than the trimmed ones.

Date: 2016
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DOI: 10.1080/03610926.2014.963620

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