Akbash K. S.
On the law of the iterated logarithm for the maximum scheme in Banach ideal spaces
↓ Abstract
Ukr. Mat. Zh. - 2019. - 71, № 3. - pp. 303-309
Asymptotic estimates are obtained in the law of the iterated logarithm for the extreme values of a sequence of independent random variables in Banach spaces.
Exponential estimates for the maximum scheme
Ukr. Mat. Zh. - 2017. - 69, № 7. - pp. 984-991
Exponential estimates are obtained in the law of iterated logarithm for the extreme values of sequence of independent random variables.
One improvement of the law of the iterated logarithm for the maximum scheme
Ukr. Mat. Zh. - 2012. - 64, № 8. - pp. 1132-1137
A lower bound is found in the law of the iterated logarithm for the maximum scheme.
The order law of large numbers of the Marcinkiewicz - Zygmund
Ukr. Mat. Zh. - 2010. - 62, № 12. - pp. 1587-1597
The Marcinkiewicz - Zygmund order law of large numbers is established for random variables in Banach lattices. Similar results are obtained also for the maximum scheme.