On the asymptotic normality of finite population L-statistics

Mathematics – Statistics Theory

Scientific paper

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9 pages

Scientific paper

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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