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Inference from small and big data sets with error rates

机译:从具有错误率的大小数据集推断

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In this paper we introduce randomized $t$-type statistics that will be referred to as randomized pivots . We show that these randomized pivots yield central limit theorems with a significantly smaller error as compared to that of their classical counterparts under the same conditions. This constitutes a desirable result when a relatively small number of data is available. When a data set is too big to be processed, or when it constitutes a random sample from a super-population, we use our randomized pivots to infer about the mean based on significantly smaller sub-samples. The approach taken is shown to relate naturally to estimating distributions of both small and big data sets.
机译:在本文中,我们介绍了随机的$ t $型统计信息,该统计信息称为随机枢轴。我们显示,与相同条件下的经典对等点相比,这些随机枢轴产生的中心极限定理具有明显更小的误差。当可获得相对少量的数据时,这构成了理想的结果。当数据集太大而无法处理时,或者当它构成超级人口中的随机样本时,我们将使用随机数据透视表基于明显较小的子样本推断均值。事实证明,采用的方法与估计小型和大型数据集的分布自然相关。

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