Generalizations of the δ-corrected Kolmogorov-Smirnov goodness-of-fit test

This paper generalizes the delta-corrected Kolmogorov-Smirnov (K-S) test into a family of tests, and investigates the behaviour of some of the members of the family, comparing them with the usual KS test, as well as the delta-corrected KS tests suggested by Harter et al. (1984) and Khamis (1990, 1992, 1993). These investigations and power studies suggest which tests are most powerful for which alternative hypotheses.