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, 2015, Volume 442, Pages 166–178 (Mi znsl6251)  
Large deviations for sums of bounded functions of a normalized sample under gamma distribution

A. V. Tchirinaab

a National Research University "Higher School of Economics", St. Petersburg, Russia
b St. Petersburg Electrotechnical University, St. Petersburg, Russia
Full-text PDF (196 kB)
References:
PDF
HTML
Abstract: We study large deviations of a widely used class of scale-free statistics under gamma distribution. We show that the constraints on the functions defining these statistics can be relaxed with respect to the previously obtained result. The result is applied to a recent exponentiality test.
Key words and phrases: $L$-statistics, exponentiality test, Bahadur efficiency, monotone failure rate.
Received: 05.11.2015
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 225, Issue 5, Pages 833–840
DOI: https://doi.org/10.1007/s10958-017-3499-9
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. V. Tchirina, “Large deviations for sums of bounded functions of a normalized sample under gamma distribution”, Probability and statistics. Part 23, Zap. Nauchn. Sem. POMI, 442, POMI, St. Petersburg, 2015, 166–178; J. Math. Sci. (N. Y.), 225:5 (2017), 833–840
Citation in format AMSBIB
\Bibitem{Chi15}
\by A.~V.~Tchirina
\paper Large deviations for sums of bounded functions of a~normalized sample under gamma distribution
\inbook Probability and statistics. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 442
\pages 166--178
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6251}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3506852}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 225
\issue 5
\pages 833--840
\crossref{https://doi.org/10.1007/s10958-017-3499-9}
Linking options:
  • https://www.mathnet.ru/eng/znsl6251
  • https://www.mathnet.ru/eng/znsl/v442/p166
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:123
    Full-text PDF :44
    References:45
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024