We establish Cramér type moderate deviation results for heavy trimmed L-statistics; we obtain our results under a very mild smoothness condition on the inversion F ⁻¹ (F is the underlying distribution function of i.i.d. observations) near two points, where trimming occurs, we assume also some smoothness of weights of the L-statistic. Our results complement previous work on Cramér type large deviations for trimmed L-statistics [8] and [5].

中文翻译：

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修整后的L统计量的Cramér类型适度偏差

我们为重整的L统计量建立了Cramér类型的中度偏差结果；我们在非常温和的平滑度条件下，在发生修整的两个点附近的反演F ^-1（F是iid观测值的基本分布函数）下获得了结果，我们还假设了L统计量权重的平滑度。我们的结果补充了先前关于修剪L统计量的Cramér类型大偏差的工作[8]和[5]。