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Biometrika 1983 70(1):97-102; doi:10.1093/biomet/70.1.97
© 1983 by Biometrika Trust
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Variances for adaptive trimmed means

JOHN E. BOYER and JOANNA O. KOLSON

Department of Statistics, Kansas State University Manhattan, Kansas, U.S.A.
Vaught Corporation, Grand Prairie, Texas, U.S.A.

Asymptotic variances for trimmed means as adaptive location estimators in the exponential power family of distributions were derived by Prescott (1978). It is shown that, when the behaviour of the adapting statistic is accounted for, the variances may change significantly from the asymptotic values. Continuously adapting statistics are shown to be less desirable when the sample size is small.

Key Words: Adaptive estimator • Cramér-Rao lower bound • Exponential power family • Location parameter


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