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On the breakdown point of multivariate location estimators based on trimming procedures

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  • Gordaliza, A.

Abstract

Let X = {x1,...,xn} be a sample from a multivariate distribution whose location we wish to estimate. A family of multivariate location estimators based on trimming procedures is obtained. High breakdown properties of these estimators are studied.

Suggested Citation

  • Gordaliza, A., 1991. "On the breakdown point of multivariate location estimators based on trimming procedures," Statistics & Probability Letters, Elsevier, vol. 11(5), pages 387-394, May.
    • Handle: RePEc:eee:stapro:v:11:y:1991:i:5:p:387-394
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    Cited by:

    1. Davies, P. Laurie & Gather, U., 2002. "Breakdown and groups," Technical Reports 2002,57, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    2. Becker, Claudia & Gather, Ursula, 1997. "The masking breakdown point of multivariate outlier identification rules," Technical Reports 1997,09, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    3. Cuesta-Albertos, J. A. & Gordaliza, A. & Matrán, C., 1998. "Trimmed best k-nets: A robustified version of an L[infinity]-based clustering method," Statistics & Probability Letters, Elsevier, vol. 36(4), pages 401-413, January.

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