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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 857–862 (Mi semr528)  
This article is cited in 1 scientific paper (total in 1 paper)

Probability theory and mathematical statistics

On the sum of the variances of the order statistics for samples of dependent observations

I. S. Borisovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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Abstract: We study asymptotic behavior of the sum of the variances of all order statistics based on samples of dependent observations when the sample size tends to infinity.
Keywords: Hoeffding’s theorem, order statistics, dependent observations.
Received July 29, 2014, published November 21, 2014
Document Type: Article
UDC: 519.234.7
MSC: 62G30
Language: Russian
Citation: I. S. Borisov, “On the sum of the variances of the order statistics for samples of dependent observations”, Sib. Èlektron. Mat. Izv., 11 (2014), 857–862
Citation in format AMSBIB
\Bibitem{Bor14}
\by I.~S.~Borisov
\paper On the sum of the variances of the order statistics for samples of dependent observations
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages 857--862
\mathnet{http://mi.mathnet.ru/semr528}
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