Best Bounds on Expectations of L-Statistics from Bounded Samples
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We present two optimal bounds on the expectations of arbitrary L-statistics based on i.i.d. samples with a bounded support expressed in the support length units. One depends on the location of the population mean in the support interval, and the other is general. The results are explicitly described in the special cases of single-order statistics and their differences.
Keywords and phrases:Bounded variable i.i.d. sample order statistic L-statistic Moriguti inequality
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- 4.Balakrishnan, N. and Rychlik, T. (2006). Evaluating expectations of L-statistics by the Steffensen inequality. Metrika (to appear).Google Scholar