Tests Based on EDF Statistics

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Shapiro–Francia test compared to other normality test using expected p-value (2015, unknown): “25/n2), using the following scenarios [10]:”
Statistical Methods for Distributional Analysis (2015, methodology): “In finite sample, the Anderson-Darling test statistic outperforms the Cramér-von-Mises statistic, which in turns outperform the Kolmogorov-Smirnov test statistic, see Stephens (1986).”
Threshold detection for the generalized Pareto distribution: Review of representative methods and application to the NOAA NCDC daily rainfall database (2016, methodology): “…calculated from a sample of size n, and belong to the Cr amer-von Mises family of quadratic statistics [see e.g., Anderson and Darling, 1952, 1954; Stephens, 1986; Ahmad et al., 1988; Deidda and Puliga, 2006, and references therein]: S25n ð11 21 FðnÞemp xð Þ2F xð Þ h i2 w xð ÞdF xð Þ (9) where…”