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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 85, Pages 175–187 (Mi znsl2961)  
This article is cited in 4 scientific papers (total in 4 papers)

Large deviations and asymptotic efficiency of integral type statistics. I

Ya. Yu. Nikitin
Full-text PDF (613 kB) Citations (4)
Abstract: We obtain rough asymptotics for probabilities of large deviations of $\omega^2$-type integral statistics and their analogues for Poisson sample size. An approach due to Sanov is used so that this asymptotics depend on a solution of some extremal problem. The latter is solved with the aid of bifurcation theory.
English version:
Journal of Soviet Mathematics, 1982, Volume 20, Issue 3, Pages 2224–2231
DOI: https://doi.org/10.1007/BF01240001
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: Ya. Yu. Nikitin, “Large deviations and asymptotic efficiency of integral type statistics. I”, Investigations in the theory of probability distributions. Part IV, Zap. Nauchn. Sem. LOMI, 85, "Nauka", Leningrad. Otdel., Leningrad, 1979, 175–187; J. Soviet Math., 20:3 (1982), 2224–2231
Citation in format AMSBIB
\Bibitem{Nik79}
\by Ya.~Yu.~Nikitin
\paper Large deviations and asymptotic efficiency of integral type statistics.~I
\inbook Investigations in the theory of probability distributions. Part~IV
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 85
\pages 175--187
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2961}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=535467}
\zmath{https://zbmath.org/?q=an:0421.62030|0493.62046}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 20
\issue 3
\pages 2224--2231
\crossref{https://doi.org/10.1007/BF01240001}
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  • https://www.mathnet.ru/eng/znsl/v85/p175
    Cycle of papers
    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
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