Geodesic
On the sum of the variances of the order statistics for samples of dependent observations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 857-862.

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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. 
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I. S. Borisov. On the sum of the variances of the order statistics for samples of dependent observations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 857-862. http://geodesic.mathdoc.fr/item/SEMR_2014_11_a36/

[1] W. Hoeffding, “On the Distribution of the Expected Values of the Order Statistics”, Ann. Math. Statist., 24:1 (1953), 93–100 | DOI | MR | Zbl

[2] I. S. Borisov, “A note on a result by W. Hoeffding”, Statist. Probab. Lett., 87 (2014), 7–11 | DOI | MR | Zbl

[3] A. V. Bulinskii, A. P. Shashkin, Predelnye teoremy dlya assotsiirovannykh sluchainykh polei i rodstvennykh sistem, Fizmatlit, M., 2008

[4] I. A. Ibragimov, Yu. V. Linnik, Nezavisimye i statsionarno svyazannye velichiny, Nauka, M., 1965 | MR

[5] Yu. V. Prokhorov, “Skhodimost sluchainykh protsessov i predelnye teoremy teorii veroyatnostei”, Teoriya veroyatn. i ee primen., 1:2 (1956), 177–238 | MR | Zbl