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Augmented order statistics and the biasing effect of outliers

Author

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  • David, H. A.

Abstract

Augmented order statistics are defined as the order statistics in a sample of n consisting of n - k random observations and k fixed values. Some distribution theory is developed and applied to a study, for k = 1, of the biasing effect of an observation at x on estimators, such as trimmed means, that are linear functions of the order statistics.

Suggested Citation

  • David, H. A., 1997. "Augmented order statistics and the biasing effect of outliers," Statistics & Probability Letters, Elsevier, vol. 36(2), pages 199-204, December.
    • Handle: RePEc:eee:stapro:v:36:y:1997:i:2:p:199-204
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    Cited by:

    1. MohammadTaghi Hajiaghayi & Keivan Rezaei & Suho Shin, 2023. "Delegating to Multiple Agents," Papers 2305.03203, arXiv.org, revised May 2023.
    2. Mitchell Watt, 2021. "Concavity and Convexity of Order Statistics in Sample Size," Papers 2111.04702, arXiv.org, revised Jan 2022.

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