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Robust extimation of scale of an exponential distribution

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  • Gather, Ursula
  • Schultze, Verena

Abstract

We consider a new estimator of scale for exponential samples which is most B-robust in the sense of Hampel et al. (1986). This estimator is compared with two other estimators which were proposed by Rousseeuw and Croux (1993) but for a Gaussian model. All three estimators have the same breakdown point, but their explosion bias curves are different. It is shown that under a gross error model the explosion bias curve of the new estimator performs better than the bias curves of the other estimators.

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  • Gather, Ursula & Schultze, Verena, 1997. "Robust extimation of scale of an exponential distribution," Technical Reports 1997,08, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:199708
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    References listed on IDEAS

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    1. P.J. Rousseeuw & A.M. Leroy, 1988. "A robust scale estimator based on the shortest half," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 42(2), pages 103-116, June.
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