We provide necessary and sufficient conditions for uniform consistency of nonparametric sets of alternatives of chi-squared test for testing the hypothesis of homogeneity. The number of cells of the chi-squared test increases with sample size growth. The nonparametric sets of alternatives can be defined in terms of distribution functions or densities.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 501, 2021, pp. 160–180.
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Ermakov, M.S. Chi-Squared Test for Hypothesis Testing of Homogeneity. J Math Sci 273, 763–777 (2023). https://doi.org/10.1007/s10958-023-06539-2
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DOI: https://doi.org/10.1007/s10958-023-06539-2