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Teoriya Veroyatnostei i ee Primeneniya, 1974, Volume 19, Issue 4, Pages 714–723 (Mi tvp3975)  

This article is cited in 19 scientific papers (total in 19 papers)

The Chauvenet test in the classical theory of errors

L. N. Bol'shev, M. K. Ubaidullaeva

Moscow
Abstract: The so called W. Chauvenet rule [6] for rejection of outlying observations is transformed into a test in the case of normal random variables with unknown parameters.
It is shown that the distribution of the number of random variables $Y_1,\dots,Y_n$ (see section 2) which exceed some properly chosen critical value tends to a Poisson distribution as $n\to\infty$.
Received: 26.12.1973
English version:
Theory of Probability and its Applications, 1975, Volume 19, Issue 4, Pages 683–692
DOI: https://doi.org/10.1137/1119078
Bibliographic databases:
Language: Russian
Citation: L. N. Bol'shev, M. K. Ubaidullaeva, “The Chauvenet test in the classical theory of errors”, Teor. Veroyatnost. i Primenen., 19:4 (1974), 714–723; Theory Probab. Appl., 19:4 (1975), 683–692
Citation in format AMSBIB
\Bibitem{BolUba74}
\by L.~N.~Bol'shev, M.~K.~Ubaidullaeva
\paper The Chauvenet test in the classical theory of errors
\jour Teor. Veroyatnost. i Primenen.
\yr 1974
\vol 19
\issue 4
\pages 714--723
\mathnet{http://mi.mathnet.ru/tvp3975}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=356319}
\zmath{https://zbmath.org/?q=an:0325.62013}
\transl
\jour Theory Probab. Appl.
\yr 1975
\vol 19
\issue 4
\pages 683--692
\crossref{https://doi.org/10.1137/1119078}
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  • https://www.mathnet.ru/eng/tvp/v19/i4/p714
  • This publication is cited in the following 19 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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