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

Andrius Čiginas ()

Statistical Papers, 2014, vol. 55, issue 4, 1047-1058

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

Keywords: Finite population; Sampling without replacement; $$L$$ L -statistic; Trimmed mean; Hoeffding decomposition; Asymptotic normality; 62E20 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s00362-013-0553-7

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