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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 130, Pages 130–136 (Mi znsl4341)  
On probability of deviation of the sample mean from its median

A. I. Martikainen
Full-text PDF (345 kB)
Abstract: Asymptotic behaviour of $P_n=\mathbf P(\bar X_n-\operatorname{med}\bar X_n\geqslant\varepsilon)$ is studied for i. i. d. r. v. $X_k$. Necessary and sufficient conditions are found for polinomial and exponential rates of convergence of $P_n$.
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: A. I. Martikainen, “On probability of deviation of the sample mean from its median”, Problems of the theory of probability distributions. Part VIII, Zap. Nauchn. Sem. LOMI, 130, "Nauka", Leningrad. Otdel., Leningrad, 1983, 130–136
Citation in format AMSBIB
\Bibitem{Mar83}
\by A.~I.~Martikainen
\paper On probability of deviation of the sample mean from its median
\inbook Problems of the theory of probability distributions. Part~VIII
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 130
\pages 130--136
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4341}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=723678}
\zmath{https://zbmath.org/?q=an:0528.60025}
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  • https://www.mathnet.ru/eng/znsl/v130/p130
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