J. Sib. Fed. Univ. Math. Phys., 2018 Volume 11, Issue 5, Pages 634–643
(Mi jsfu697)
This article is cited in
2 papers
Sequential empirical process of independence Abdurahim A. Abdushukurov a ,
Leyla R. Kakadjanova b 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 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.
UDC:
519.24 Received: 03.01.2018
Received in revised form: 05.06.2018
Accepted: 20.07.2018
Language: English
DOI:
10.17516/1997-1397-2018-11-5-634-643
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