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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 5, Pages 634–643
DOI: https://doi.org/10.17516/1997-1397-2018-11-5-634-643 (Mi jsfu697) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Sequential empirical process of independence

Abdurahim A. Abdushukurova, Leyla R. Kakadjanovab

a Dpt. Applied Mathematics and Informatics, Branch of Moscow State University in Tashkent, Dpt. Appl. Math. and Informatics, av. Timur, 1000060, Tashkent, Uzbekistan
b Dpt. Probability Theory and Mathematical Statistics, National University of Uzbekistan, VUZ Gorodok, Tashkent, 100174, Uzbekistan
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DOI: https://doi.org/10.17516/1997-1397-2018-11-5-634-643
Abstract: Uniform strong laws of large numbers and the central limit theorem for special sequential empirical process of independence for a certain class of measurable functions are considered in the paper.
Keywords: sequential empirical processes, metric entropy, Glivenko-Cantelli theorem, Donsker theorem.
Received: 03.01.2018
Received in revised form: 05.06.2018
Accepted: 20.07.2018
Bibliographic databases:
Document Type: Article
UDC: 519.24
Language: English
Citation: Abdurahim A. Abdushukurov, Leyla R. Kakadjanova, “Sequential empirical process of independence”, J. Sib. Fed. Univ. Math. Phys., 11:5 (2018), 634–643
Citation in format AMSBIB
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\by Abdurahim~A.~Abdushukurov, Leyla~R.~Kakadjanova
\paper Sequential empirical process of independence
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 5
\pages 634--643
\mathnet{http://mi.mathnet.ru/jsfu697}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-5-634-643}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000447374900012}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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