Summary

Various methods for calculating the Kolmogorov–Smirnov one-sample statistic have been developed in the literature. A transformation of an approximation method is here derived and some of its properties discussed. The main value of the new formulae is to obtain more convenient approximations in the lower tail than have been possible using other methods. The relationships between various methods are given, as well as recommendations for each method of a usable range of the independent variable.

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