For the Kolmogorov type tests, conditions for uniform consistency of sets of alternatives approaching to hypothesis are established. The sets of alternatives can be defined both in terms of distribution functions and in terms of densities.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 495, 2020, pp. 147–176.
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Ermakov, M.S. On Uniform Consistency of Nonparametric Tests. II. J Math Sci 268, 629–642 (2022). https://doi.org/10.1007/s10958-022-06233-9
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DOI: https://doi.org/10.1007/s10958-022-06233-9