Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2016, Volume 454, Pages 82–101 (Mi znsl6385)  
This article is cited in 3 scientific papers (total in 3 papers)

Asymptotic efficiency of new distribution-free tests of symmetry for generalized skew alternatives

G. T. Bookiyaa, Ya. Yu. Nikitinb

a St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
Full-text PDF (230 kB) Citations (3)
References:
PDF
HTML
Abstract: We calculate Bahadur efficiency of new nonparametric tests for symmetry recently proposed by Nikitin and Ahsanullah [30]. In contrast with that paper where only location alternatives were discussed, we are interested in generalized skew alternatives. It is shown that the new tests are highly efficient for a vast class of skew alternatives. The problem of most favorable alternatives is also explored.
Key words and phrases: test of symmetry, $U$-empirical distribution, Bahadur efficiency, skew-symmetric alternative.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00258
Received: 28.10.2016
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 229, Issue 6, Pages 651–663
DOI: https://doi.org/10.1007/s10958-018-3704-5
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: G. T. Bookiya, Ya. Yu. Nikitin, “Asymptotic efficiency of new distribution-free tests of symmetry for generalized skew alternatives”, Probability and statistics. Part 24, Zap. Nauchn. Sem. POMI, 454, POMI, St. Petersburg, 2016, 82–101; J. Math. Sci. (N. Y.), 229:6 (2018), 651–663
Citation in format AMSBIB
\Bibitem{BukNik16}
\by G.~T.~Bookiya, Ya.~Yu.~Nikitin
\paper Asymptotic efficiency of new distribution-free tests of symmetry for generalized skew alternatives
\inbook Probability and statistics. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 454
\pages 82--101
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6385}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3602402}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 229
\issue 6
\pages 651--663
\crossref{https://doi.org/10.1007/s10958-018-3704-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042352029}
Linking options:
  • https://www.mathnet.ru/eng/znsl6385
  • https://www.mathnet.ru/eng/znsl/v454/p82
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024