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Bounds for the Breakdown Point of the Simplicial Median

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  • Chen, Z. Q.

Abstract

Upper and lower bounds are given for the breakdown point of Liu's empirical simplicial median. This median has a strictly positive breakdown point but is a less robust location estimator than the median based on Tukey's data depth (D. Donoho and M. Gasko, Ann. Statist.20 (1992), 1803-1827).

Suggested Citation

  • Chen, Z. Q., 1995. "Bounds for the Breakdown Point of the Simplicial Median," Journal of Multivariate Analysis, Elsevier, vol. 55(1), pages 1-13, October.
    • Handle: RePEc:eee:jmvana:v:55:y:1995:i:1:p:1-13
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    Cited by:

    1. Hwang, Jinsoo & Jorn, Hongsuk & Kim, Jeankyung, 2004. "On the performance of bivariate robust location estimators under contamination," Computational Statistics & Data Analysis, Elsevier, vol. 44(4), pages 587-601, January.
    2. Romanazzi, Mario, 2001. "Influence Function of Halfspace Depth," Journal of Multivariate Analysis, Elsevier, vol. 77(1), pages 138-161, April.
    3. Zuo, Yijun, 2001. "Some quantitative relationships between two types of finite sample breakdown point," Statistics & Probability Letters, Elsevier, vol. 51(4), pages 369-375, February.

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