Geodesic
On the precise value of the significance level for the truncated one-sided Kolmogorov test
Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 4, pp. 827-830

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In the paper, the distribution function of $\Delta_n(\theta_1,\theta_2)$ defined by (1) is found (in (1), $S_n(x)$ denotes the empirical distribution function of a continuously distributed random variable obtained from $n$ independent observations). 
@article{TVP_1973_18_4_a14,
     author = {V. A. Epanechnikov},
     title = {On the precise value of the significance level for the truncated one-sided {Kolmogorov} test},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {827--830},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1973_18_4_a14/}
}
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V. A. Epanechnikov. On the precise value of the significance level for the truncated one-sided Kolmogorov test. Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 4, pp. 827-830. http://geodesic.mathdoc.fr/item/TVP_1973_18_4_a14/