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Comparison of the bias of trimmed and Winsorized means

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  • Mariusz Bieniek

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.

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  • Mariusz Bieniek, 2016. "Comparison of the bias of trimmed and Winsorized means," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(22), pages 6641-6650, November.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:22:p:6641-6650
    DOI: 10.1080/03610926.2014.963620
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    Cited by:

    1. Yang, Tianle & Li, Fangmin & Du, Min & Huang, Miao & Li, Yinuo, 2023. "Impacts of alternative energy production innovation on reducing CO2 emissions: Evidence from China," Energy, Elsevier, vol. 268(C).

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