Geodesic
On uniform consistency of nonparametric tests.~II
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 29, Tome 495 (2020), pp. 147-176

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We provide necessary and sufficient conditions of uniform consistency of nonparametric sets of alternatives for Kolmogorov test. Nonparametric sets of alternatives can be defined both in terms of densities and distribution functions. 
@article{ZNSL_2020_495_a8,
     author = {M. S. Ermakov},
     title = {On uniform consistency of nonparametric {tests.~II}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {147--176},
     publisher = {mathdoc},
     volume = {495},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_495_a8/}
}
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M. S. Ermakov. On uniform consistency of nonparametric tests.~II. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 29, Tome 495 (2020), pp. 147-176. http://geodesic.mathdoc.fr/item/ZNSL_2020_495_a8/