This work provides a short summary of techniques for formally-correct handling of statistical uncertainties in Poisson-statistics dominated data, with emphasis on X-ray powder diffraction patterns. Correct assignment of uncertainties for low counts is documented. Further, we describe a technique for adaptively rebinning such data sets to provide more uniform statistics across a pattern with a wide range of count rates, from a few (or no) counts in a background bin to on-peak regions with many counts. This permits better plotting of data and analysis of a smaller number of points in a fitting package, without significant degradation of the information content of the data set. Examples of the effect of this on a diffraction data set are given.

中文翻译：

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X 射线粉末衍射数据中的泊松误差和自适应重组

这项工作提供了对泊松统计主导数据中统计不确定性的形式正确处理的技术的简短总结，重点是 X 射线粉末衍射图。记录了低计数的不确定性的正确分配。此外，我们描述了一种自适应重组此类数据集的技术，以在具有广泛计数率的模式中提供更统一的统计数据，从背景箱中的少数（或没有）计数到具有许多计数的峰值区域。这允许更好地绘制数据并分析拟合包中较少数量的点，而不会显着降低数据集的信息内容。给出了这对衍射数据集的影响的示例。