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Teoriya Veroyatnostei i ee Primeneniya, 1967, Volume 12, Issue 4, Pages 718–727 (Mi tvp757)  
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

On determination of the order of a parabolic regression equation

G. N. Boganik

Moscow
Full-text PDF (579 kB) Citations (1)
Abstract: The problem of testing of statistical hypotheses about the proper degree of a parabolic regression equation is considered. There has not been any appropriate test statistic for an important case when a sequence of single observations with an unknown variance of their random errors is given. Here such a statistic is suggested and the first two moments of its distribution are obtained. The new test is shown to be asymptotically more powerful than the $\chi^2$-test.
Received: 01.03.1966
English version:
Theory of Probability and its Applications, 1967, Volume 12, Issue 4, Pages 658–666
DOI: https://doi.org/10.1137/1112080
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. N. Boganik, “On determination of the order of a parabolic regression equation”, Teor. Veroyatnost. i Primenen., 12:4 (1967), 718–727; Theory Probab. Appl., 12:4 (1967), 658–666
Citation in format AMSBIB
\Bibitem{Bog67}
\by G.~N.~Boganik
\paper On determination of the order of a~parabolic regression equation
\jour Teor. Veroyatnost. i Primenen.
\yr 1967
\vol 12
\issue 4
\pages 718--727
\mathnet{http://mi.mathnet.ru/tvp757}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=220403}
\zmath{https://zbmath.org/?q=an:0162.50402}
\transl
\jour Theory Probab. Appl.
\yr 1967
\vol 12
\issue 4
\pages 658--666
\crossref{https://doi.org/10.1137/1112080}
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  • https://www.mathnet.ru/eng/tvp/v12/i4/p718
    • This publication is cited in the following 1 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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