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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 4, Pages 796–806 (Mi tvp3113)  

This article is cited in 21 scientific papers (total in 21 papers)

Decomposable statistics and hypothesis testing. The case of small samples

G. I. Ivčenko, Yu. I. Medvedev

Moscow
Abstract: Questions of statistical hypotheses testing are considered for polynomial outcome probabilities in the scheme of series under the conditions that the number of outcomes $N$ and the number of tests $n$ increase simultaneously to infinity so that $n/N$ remains bounded. A class of tests is studied which is based on decomposable statistics of outcomes, frequencies. In particular, some results are obtained concerning the classical $\chi^2$-test and maximum likelihood ratio test.
Received: 31.05.1976
English version:
Theory of Probability and its Applications, 1979, Volume 23, Issue 4, Pages 764–775
DOI: https://doi.org/10.1137/1123092
Bibliographic databases:
Language: Russian
Citation: G. I. Ivčenko, Yu. I. Medvedev, “Decomposable statistics and hypothesis testing. The case of small samples”, Teor. Veroyatnost. i Primenen., 23:4 (1978), 796–806; Theory Probab. Appl., 23:4 (1979), 764–775
Citation in format AMSBIB
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\by G.~I.~Iv{\v{c}}enko, Yu.~I.~Medvedev
\paper Decomposable statistics and hypothesis testing. The case of small samples
\jour Teor. Veroyatnost. i Primenen.
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\vol 23
\issue 4
\pages 796--806
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=516276}
\zmath{https://zbmath.org/?q=an:0447.62027|0405.62017}
\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 23
\issue 4
\pages 764--775
\crossref{https://doi.org/10.1137/1123092}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1978JA77700008}
Linking options:
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  • https://www.mathnet.ru/eng/tvp/v23/i4/p796
  • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
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