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On the asymptotic normality of finite population $$L$$ L -statistics

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  • Andrius Čiginas

Abstract

We give sufficient conditions for the asymptotic normality of linear combinations of order statistics ( $$L$$ L -statistics) in the case of simple random samples without replacement. In the first case, restrictions are imposed on the weights of $$L$$ L -statistics. The second case is on trimmed means, where we introduce a new finite population smoothness condition. Copyright Springer-Verlag Berlin Heidelberg 2014

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  • Andrius Čiginas, 2014. "On the asymptotic normality of finite population $$L$$ L -statistics," Statistical Papers, Springer, vol. 55(4), pages 1047-1058, November.
    • Handle: RePEc:spr:stpapr:v:55:y:2014:i:4:p:1047-1058
    DOI: 10.1007/s00362-013-0553-7
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    References listed on IDEAS

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    1. Arindam Chatterjee, 2011. "Asymptotic properties of sample quantiles from a finite population," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 63(1), pages 157-179, February.
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    Cited by:

    1. Hui Jiang & Jin Shao & Qingshan Yang, 2021. "Sharp large deviations for a class of normalized L-statistics and applications," Statistical Papers, Springer, vol. 62(2), pages 721-744, April.

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