22 citations · 246 across the 78 of their papers we have counts for
78 papers
Estimates for tail functions under Riesz transforms in Grand Lebesgue Spaces
Maria Rosaria Formica, Eugene Ostrovsky, Leonid Sirota
We study the tail behaviour of measurable functions under generalized Riesz-type operators in the framework of Grand Lebesgue Spaces. By exploiting the connection between the growt…
Covariation inequality in Grand Lebesgue Spaces
E. Ostrovsky, L. Sirota
We represent in this preprint the exact estimate for covariation berween two random variables (r.v.), which are measurable relative the corresponding sigma-algebras through anyhow…
Exponential exact estimation for maximum and minimum tail of distribution for non-Gaussian random vector
M. R. Formica, E. Ostrovsky, L. Sirota
We find the exponential exact two-terms non-asymptotic expression for the maximum and minimum distribution of a non-Gaussian, in general case, random vector.
Bilateral tail estimate for distribution of self normalizes sums of independent centered random variables under natural norming
E. Ostrovsky, L. Sirota
We derive in this article the exact non-asymptotical exponential and power estimates for self-normalized sums of centered independent random variables (r.v.) under natural norming.…
Grand Lebesgue Spaces norm estimates for multivariate functional operations
E. Ostrovsky, L. Sirota
We intend to derive the moment and exponential tail estimates for the so-called bivariate or more generally multivariate functional operations, not necessary to be linear or even m…
Improved Monte-Carlo method for solving of integral Fredholm's equations of a second kind, with confidence regions in the uniform norm
E. Ostrovsky, L. Sirota
We offer in this article some modification of Monte-Carlo method for solving of a linear integral Fredholm's equation of a second kind (Fredholm's well posed problem). We prove tha…