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Teoriya Veroyatnostei i ee Primeneniya, 1975, Volume 20, Issue 1, Pages 207–215 (Mi tvp3014)  
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

On the rate of convergence of linear combinations of absolute order statistics to the normal law

V. A. Egorov, V. B. Nevzorov

Leningrad State University named after A. A. Zhdanov
Full-text PDF (463 kB) Citations (3)
Abstract: Let $\{X_j\}$ ($j=1,2,\dots,n$) be a sequence of symmetric independent identically distributed random variables and $\{X_{j,n}\}$ ($j=1,2,\dots,n$) be the corresponding absolute order statistics, i.e. $|X_{1,n}|\le|X_{2,n}|\le\dots\le|X_{n,n}|$.
Some results are obtained for the rate of convergence of linear combinations of the random variables $X_{j,n}$ to the normal law.
Received: 15.01.1974
English version:
Theory of Probability and its Applications, 1975, Volume 20, Issue 1, Pages 203–211
DOI: https://doi.org/10.1137/1120026
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Egorov, V. B. Nevzorov, “On the rate of convergence of linear combinations of absolute order statistics to the normal law”, Teor. Veroyatnost. i Primenen., 20:1 (1975), 207–215; Theory Probab. Appl., 20:1 (1975), 203–211
Citation in format AMSBIB
\Bibitem{EgoNev75}
\by V.~A.~Egorov, V.~B.~Nevzorov
\paper On the rate of convergence of linear combinations of absolute order statistics to the normal law
\jour Teor. Veroyatnost. i Primenen.
\yr 1975
\vol 20
\issue 1
\pages 207--215
\mathnet{http://mi.mathnet.ru/tvp3014}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=362446}
\zmath{https://zbmath.org/?q=an:0437.62050}
\transl
\jour Theory Probab. Appl.
\yr 1975
\vol 20
\issue 1
\pages 203--211
\crossref{https://doi.org/10.1137/1120026}
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    • 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
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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