Article

Law of large numbers for weakly dependent random variables with values in $D[0,1]$

Olimjon Shukurovich SharipovNational University of Uzbekistan named after Mirzo Ulugbek, 100174 University street 4, Almazar district, Tashkent, UzbekistanAnvar Fayzullayevich NorjigitovV.I. Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan, 100174 University street 4b, Almazar district, Tashkent, Uzbekistan

Ufimskii Matematicheskii Zhurnaljournal2021en

ABI

Abstract

Limit theorems in Banach spaces are important, in particular, because of applications in functional data analysis. This paper is devoted to the law of large numbers for the random variables with values in the space [0, 1]. This space is not separable if we consider it with supremum norm and it is difficult to prove limit theorems in this space.

Topics

Probability and Risk Models

Identifiers

DOI: 10.13108/2021-13-4-123

Citations and references

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