The asymptotics of the least trimmed absolute deviations (LTAD) estimator (Q1324563)

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scientific article; zbMATH DE number 571649
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The asymptotics of the least trimmed absolute deviations (LTAD) estimator
scientific article; zbMATH DE number 571649

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    The asymptotics of the least trimmed absolute deviations (LTAD) estimator (English)
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    27 October 1994
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    This paper studied the least trimmed absolute deviations (LTAD) estimator of location. The LTAD estimator is defined by minimizing the least sum of absolute deviations on all possible half-samples. Consistency and asymptotic normality of the LTAD are derived. A comparison of asymptotic variances of the LTAD, Rousseeuw's least median of squares (LMS) and LTS are carried out.
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    least trimmed absolute deviations estimator of location
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    consistency
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    LTAD estimator
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    least sum of absolute deviations
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    half-samples
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    asymptotic normality
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    comparison of asymptotic variances
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    Rousseeuw's least median of squares
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