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Chi-squared test for hypothesis testing of homogeneity

Statistics Theory 2021-08-30 v1 Statistics Theory

Abstract

We provide necessary and sufficient conditions of uniform consistency of nonparametric sets of alternatives of chi-squared test for testing of hypothesis of homogeneity. The number of cells of chi-squared test increases with sample size growth. Nonparametric sets of alternatives can be defined both in terms of densities and distribution functions.

Keywords

Cite

@article{arxiv.2108.11980,
  title  = {Chi-squared test for hypothesis testing of homogeneity},
  author = {Mikhail Ermakov},
  journal= {arXiv preprint arXiv:2108.11980},
  year   = {2021}
}

Comments

18 pages

R2 v1 2026-06-24T05:27:10.735Z