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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2023 Volume 16, Issue 1, Pages 66–75 (Mi jsfu1057)

On special empirical processes of independence in presence of covariates

Abduraxim A. Abdushukurovab, Farkhad A. Abdikalikovbc

a Moscow State University named after M. V. Lomonosov, Tashkent Branch, Tashkent, Uzbekistan
b V. I. Romanovskiy Institute of Mathematics of Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
c Karakalpak State University named after Berdakh, Nukus, Uzbekistan

Abstract: In this paper we investigate asymptotic properties of one class of empirical processes in case of presence of covariates for a class of measurable functions.

Keywords: empirical processes, metrical entropy, Gaussian processes.

UDC: 517.24

Received: 10.05.2022
Received in revised form: 15.08.2022
Accepted: 04.11.2022

Language: English



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© Steklov Math. Inst. of RAS, 2024