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The Effect of an Outlier on L-Estimators of Location in Symmetric Distributions
H. A. David and J. K. Ghosh
Vol. 72, No. 1 (Apr., 1985), pp. 216-218
Stable URL: http://www.jstor.org/stable/2336355
Page Count: 3
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The effect is studied of an outlier which has the same symmetric distribution as the other observations except for a change in location and a possible increase in scale. We show that the median is the most bias-resistant estimator, in the class of L-statistics with symmetric nonnegative coefficients that add up to one, for a class of distributions which includes the normal, double-exponential and logistic distributions.
Biometrika © 1985 Biometrika Trust