Korolev M. E.
Ukr. Mat. Zh. - 1997. - 49, № 4. - pp. 490–499
For normalized integrals of processes with weak dependence, we prove the law of iterated logarithm in the Strassen form. The results obtained are used for the construction of a curvilinear confidence region in which a solution of an equation with small parameter is sought.
Ukr. Mat. Zh. - 1996. - 48, № 12. - pp. 1638-1650
We construct the exponential Bernstein inequality for normed fluctuations of a solution of the Dirichlet problem with rapidly oscillating periodic random coefficients with respect to a solution of the averaged Dirichlet problem.