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, 1971, Volume 16, Issue 2, Pages 280–291 (Mi tvp2147)  
This article is cited in 4 scientific papers (total in 4 papers)

Aysmptotically optimal tests of testing hypotheses for an interdependent sample

A. F. Kušnir, A. I. Pinskiĭ

Moscow
Full-text PDF (652 kB) Citations (4)
Abstract: The paper deals with testing the hypothesis that the sample has been taken from a $k$-dependent stationary Markov chain against the alternative that the transition function depends on a “signal” as a parameter.
The problem is treated “asymptotically”, i.e. as the sample size tends to infinity while the signal “amplitude” decreases. The methods used are based on the study of asymtotical behaviour of the likelihood ratio. Asymptotically optimal (and in some cases rank-order asymptotically optimal) tests are effectively constructed, and their properties are studied.
Received: 22.10.1969
English version:
Theory of Probability and its Applications, 1971, Volume 16, Issue 2, Pages 281–292
DOI: https://doi.org/10.1137/1116026
Bibliographic databases:
Language: Russian
Citation: A. F. Kušnir, A. I. Pinskiǐ, “Aysmptotically optimal tests of testing hypotheses for an interdependent sample”, Teor. Veroyatnost. i Primenen., 16:2 (1971), 280–291; Theory Probab. Appl., 16:2 (1971), 281–292
Citation in format AMSBIB
\Bibitem{KusPin71}
\by A.~F.~Ku{\v s}nir, A.~I.~Pinski{\v\i}
\paper Aysmptotically optimal tests of testing hypotheses for an interdependent sample
\jour Teor. Veroyatnost. i Primenen.
\yr 1971
\vol 16
\issue 2
\pages 280--291
\mathnet{http://mi.mathnet.ru/tvp2147}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=293775}
\zmath{https://zbmath.org/?q=an:0244.62036}
\transl
\jour Theory Probab. Appl.
\yr 1971
\vol 16
\issue 2
\pages 281--292
\crossref{https://doi.org/10.1137/1116026}
Linking options:
  • https://www.mathnet.ru/eng/tvp2147
  • https://www.mathnet.ru/eng/tvp/v16/i2/p280
    • This publication is cited in the following 4 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
    Statistics & downloads:
    Abstract page:206
    Full-text PDF :111
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024