For Kolmogorov test we find necessary and sufficient conditions of uniform consistency of sets of alternatives approaching to hypothesis. Sets of alternatives can be defined both in terms of distribution functions and in terms of densities.

翻译：对于Kolmogorov的测试,我们发现,各种替代方法在接近假设时具有统一一致性的必要和充分条件,可以按照分配功能和密度来界定这些替代方法。