Geodesic
On tests of Neyman type for testing composite nonparametric hypothesis
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 36, Tome 535 (2024), pp. 120-140

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For nonparametric hypothesis testing of symmetry, homogeneity and independency we describe uniformly consistent nonparametric sets for tests of Neyman type. The description is exhaustive except for those cases where the bulk of the coefficients of the Fourier series expansion of alternative densities lie far in the tail of the expansion. The desciptions do not depend on hypothesis. 
@article{ZNSL_2024_535_a8,
     author = {M. S. Ermakov},
     title = {On tests of {Neyman} type for testing composite nonparametric hypothesis},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {120--140},
     publisher = {mathdoc},
     volume = {535},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2024_535_a8/}
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M. S. Ermakov. On tests of Neyman type for testing composite nonparametric hypothesis. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 36, Tome 535 (2024), pp. 120-140. http://geodesic.mathdoc.fr/item/ZNSL_2024_535_a8/