On Kolmogorov-Smirnov type one-sample statistics
Urs R. Maag, Ghislaine Dicaire · Biometrika · 1971
Asymptotic expansions with a term in n−½ of the distributions of Pyke's modified one-sample Kolmogorov-Smirnov statistics, C+n, C−n and Cn are derived. From these expansions and the already known ones for D+n, D−n, Dn, Vn = D+n + D−n and Kn = C+n + C−n are deduced expansions for the percentage points. The approximate percentage points determined by these expansions are sufficiently accurate to be used in applications.