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Teoriya Veroyatnostei i ee Primeneniya, 1997, Volume 42, Issue 4, Pages 668–695
DOI: https://doi.org/10.4213/tvp2179 (Mi tvp2179) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Asymptotic minimaxity of chi-square tests

M. S. Ermakov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Full-text PDF (1297 kB) Citations (20)
DOI: https://doi.org/10.4213/tvp2179
Abstract: We consider the asymptotic behavior of chi-square tests when a number $k_n$ of cells increases as the sample size $n$ grows. For such a setting we show that a sequence of chi-square tests is asymptotically minimax if $k_n = o(n^2)$ as $n \to \infty$. The proof makes use of a theorem about asymptotic normality of chi-square test statistics obtained under new assumptions.
Keywords: chi-square tests, asymptotic efficiency, asymptotic normality, asymptotically minimax approach, goodness-of-fit testing.
Received: 11.11.1996
English version:
Theory of Probability and its Applications, 1998, Volume 42, Issue 4, Pages 589–610
DOI: https://doi.org/10.1137/S0040585X97976441
Bibliographic databases:
Language: Russian
Citation: M. S. Ermakov, “Asymptotic minimaxity of chi-square tests”, Teor. Veroyatnost. i Primenen., 42:4 (1997), 668–695; Theory Probab. Appl., 42:4 (1998), 589–610
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 1998
\vol 42
\issue 4
\pages 589--610
\crossref{https://doi.org/10.1137/S0040585X97976441}
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  • https://doi.org/10.4213/tvp2179
  • https://www.mathnet.ru/eng/tvp/v42/i4/p668
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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