On the asymptotic normality of finite population L-statistics

Andrius Čiginas

On the asymptotic normality of finite population L-statistics

Statistics Theory 2012-04-11 v1 Statistics Theory

Authors: Andrius Čiginas

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.

Keywords

finite population L-statistics asymptotic normality order statistics trimmed means simple random sampling without replacement smoothness condition

Cite

@article{arxiv.1204.2109,
  title  = {On the asymptotic normality of finite population L-statistics},
  author = {Andrius Čiginas},
  journal= {arXiv preprint arXiv:1204.2109},
  year   = {2012}
}

Comments

9 pages

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