RECENT RESEARCHES in INSTRUMENTATION, MEASUREMENT, CIRCUITS and SYSTEMS
نویسندگان
چکیده
The asymptotic (normal) distribution of an estimator approximates well the central part, but not the tails of its true distribution. Robust estimators, advertised as resistant to heavy-tailed distributions, can be themselves heavy-tailed. Though asymptotically admissible, many are not finite-sample admissible for any distribution. Hence, before taking a recourse to the asymptotics, we should first analyze finite-sample properties of an estimator, whenever possible. We illustrate some of the most distinctive differences between the asymptotic and finite-sample properties of robust estimators. Key–Words: admissibility, asymptotic and finite-sample behavior, equivariant estimator, heavy-tailed distribution
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