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

Olimjon Sh. SharipovNational 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, UzbekistanUtkir KobilovNational University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan
2023en
ABI

Annotatsiya

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.

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