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A proposal for plotting positions in probability plots

机译：在概率图中绘制位置的建议

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摘要

Probability plots allow us to determine whether a set of sample observations is distributed according to a theoretical distribution. Plotting positions are fundamental elements in statistics and, in particular, for the construction of probability plots. In this paper, a new plotting position to construct different probability plots, such as Q-Q Plot, P-P Plot and S-P Plot, is proposed. The proposed definition is based on the median of the ith order statistic of the theoretical distribution considered. The main feature of this plotting position formula is that it is independent of the theoretical distribution selected. Moreover, the procedure developed is 'almost' exact, reaching, without a high cost of time, an accuracy as great as we want, which avoids using approximations (proposed by other authors).
机译：概率图使我们能够确定一组样本观测值是否根据理论分布进行分布。绘图位置是统计中的基本元素，尤其是对于概率图的构建。本文提出了一种新的绘制位置来构造不同的概率图，例如Q-Q图，P-P图和S-P图。所提出的定义是基于所考虑的理论分布的四阶统计量的中位数。该绘图位置公式的主要特征在于它与所选的理论分布无关。而且，开发的过程“几乎”精确，无需花费大量时间即可达到我们想要的精度，从而避免了使用近似值（其他作者提出的）。

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