Limit theorems for weakly dependent random variables with values in stable type p Banach spaces

Authors

Olimjon Sharipov, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan; V.I.Romanovskiy Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan, Tashkent, UzbekistanFollow
Utkir Kobilov, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, UzbekistanFollow

Abstract

We consider stable type p Banach spaces. We extend results known for independent random variables to the mixing random variables.

In particular we prove moment in equalities, low of large numbers and almost sure convergence of the series in the case of mixing random variables.

First Page

106

Last Page

119

References

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Recommended Citation

Sharipov, Olimjon and Kobilov, Utkir (2023) "Limit theorems for weakly dependent random variables with values in stable type p Banach spaces," Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 6: Iss. 2, Article 7.
DOI: https://doi.org/10.56017/2181-1318.1251