Chi-squared test for hypothesis testing of homogeneity

2021/08/26 by Mikhail Ermakov, Ermakov, Mikhail
Computer Science · Mathematics · #62F03 #62G10 #62G2 #Bayesian Methods and Mixture Models #FOS: Mathematics #Statistical Methods and Inference #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.2108.11980

openalex publication_date 2021/08/26 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

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.

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