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On the asymptotic normality of finite population \(L\)-statistics

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Abstract

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

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Acknowledgments

The author is grateful to the referees for their comments and constructive remarks.

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  1. Institute of Mathematics and Informatics, Vilnius University, 08663 , Vilnius, Lithuania

    Andrius Čiginas

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  1. Andrius Čiginas
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Correspondence to Andrius Čiginas.

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Čiginas, A. On the asymptotic normality of finite population \(L\)-statistics. Stat Papers 55, 1047–1058 (2014). https://doi.org/10.1007/s00362-013-0553-7

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  • DOI: https://doi.org/10.1007/s00362-013-0553-7

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