Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Teoriya Veroyatnostei i ee Primeneniya, 1965, Volume 10, Issue 4, Pages 713–726 (Mi tvp582)  

This article is cited in 9 scientific papers (total in 9 papers)

Различение близких гипотез о виде плотности распределения в схеме обобщенного последовательного критерия

S. A. Aivazyan

Moscow
Full-text PDF (805 kB) Citations (9)
Abstract: The statistical problem of the distinguishing between two hypotheses $H_0$ (the theoretical density of probability is $f(x;0)$) and $H_\theta$ (the theoretical density of probability is $f(x,\theta)$) is considered. It is assumed that an unknown $p$-dimensional parameter may be equal to one of two alternative values 0 and $\theta$ or to some “intermediate” value $\theta_\lambda$.
One approximate variant of the optimum generalized probability ratio test is suggested in this paper. It is shown that the optimum properties of this test are highly near to “ideal” and that the test is better than Wald sequential test.
Received: 04.08.1965
English version:
Theory of Probability and its Applications, 1965, Volume 10, Issue 4, Pages 646–658
DOI: https://doi.org/10.1137/1110078
Bibliographic databases:
Language: Russian
Citation: S. A. Aivazyan, “Различение близких гипотез о виде плотности распределения в схеме обобщенного последовательного критерия”, Teor. Veroyatnost. i Primenen., 10:4 (1965), 713–726; Theory Probab. Appl., 10:4 (1965), 646–658
Citation in format AMSBIB
\Bibitem{Aiv65}
\by S.~A.~Aivazyan
\paper Различение близких гипотез о виде плотности распределения в схеме обобщенного последовательного критерия
\jour Teor. Veroyatnost. i Primenen.
\yr 1965
\vol 10
\issue 4
\pages 713--726
\mathnet{http://mi.mathnet.ru/tvp582}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=191061}
\zmath{https://zbmath.org/?q=an:0158.18002}
\transl
\jour Theory Probab. Appl.
\yr 1965
\vol 10
\issue 4
\pages 646--658
\crossref{https://doi.org/10.1137/1110078}
Linking options:
  • https://www.mathnet.ru/eng/tvp582
  • https://www.mathnet.ru/eng/tvp/v10/i4/p713
  • This publication is cited in the following 9 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
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024