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Zapiski Nauchnykh Seminarov LOMI, 1978, Volume 79, Pages 82–96 (Mi znsl2927)  
Theorem on large deviations for the generalized Student's ratio

O. V. Shalaevskii
Full-text PDF (545 kB)
Abstract: A theorem on large deviations is obtained. The theorem proposes a multiplicative modification of Welch's approximative approach (B. L. Welch, Biometrika, 34, 1, 1947, p.28–35) to the problem of interval estimation of a given linear function of mean values of several normal populations with unknown parameters.
English version:
Journal of Soviet Mathematics, 1987, Volume 36, Issue 5, Pages 627–637
DOI: https://doi.org/10.1007/BF01093296
Bibliographic databases:
UDC: 519.281.2
Language: Russian
Citation: O. V. Shalaevskii, “Theorem on large deviations for the generalized Student's ratio”, Studies in the statistical estimation theory. Part II, Zap. Nauchn. Sem. LOMI, 79, "Nauka", Leningrad. Otdel., Leningrad, 1978, 82–96; J. Soviet Math., 36:5 (1987), 627–637
Citation in format AMSBIB
\Bibitem{Sha78}
\by O.~V.~Shalaevskii
\paper Theorem on large deviations for the generalized Student's ratio
\inbook Studies in the statistical estimation theory. Part~II
\serial Zap. Nauchn. Sem. LOMI
\yr 1978
\vol 79
\pages 82--96
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2927}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=545124}
\zmath{https://zbmath.org/?q=an:0438.62028|0612.62039}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 36
\issue 5
\pages 627--637
\crossref{https://doi.org/10.1007/BF01093296}
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