activity
20172024
most citedAsymptotic and non-asymptotic estimates for multivariate Laplace integrals

1 citations · 2 across the 16 of their papers we have counts for

collaborators

18 papers

math.ST2021

Exponential confidence interval based on the recursive Wolverton-Wagner density estimation

M. R. Formica, E. Ostrovsky, L. Sirota

We derive the exponential non improvable Grand Lebesgue Space norm decreasing estimations for tail of distribution for exact normed deviation for the famous recursive Wolverton-Wag…

math.CV2021

Relations between growth of entire functions and behavior of its Taylor coefficients

M. R. Formica, E. Ostrovsky, L. Sirota

We derive in the closed and unimprovable form the bilateral non-asymptotic relations between growth of entire functions and decay rate at infinity of its Taylor coefficients. We in…

math.NA2021

Method Monte-Carlo for solving of non-linear integral equations

M. R. Formica, E. Ostrovsky, L. Sirota

We offer in this short report a simple Monte-Carlo method for solving a well-posed non-linear integral equations of second Fredholm's and Volterra's type and built a confidence reg…

math.ST2021

Signed variable optimal kernel for non-parametric density estimation

M. R. Formica, E. Ostrovsky, L. Sirota

We derive the optimal signed variable in general case kernels for the classical statistic density estimation, which are some generalization of the famous Epanechnikov's ones.

math.FA2021

Analog of modulus of convexity for Grand Lebesgue Spaces

M. R. Formica, E. Ostrovsky, L. Sirota

We introduce and evaluate the degree of convexity of an unit ball, so-called, characteristic of convexity (COC) for the Grand Lebesgue Spaces, (GLS), which is a slight analog of th…

math.CV2020

Gaussian and non-Gaussian distributed random analytical and entire functions

Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota

We investigate the complex Gaussian as well as non-Gaussian distributed random analytical and entire functions (complex entire random field) and calculate their domain of definiten…