15 citations · 24 across the 7 of their papers we have counts for
4 papers · 1 filter
Exponential Bounds for Random Sums
B. M. Migdashiev, E. I. Ostrovsky
We construct a non - improved exponential bounds for distribution of normed sums of i.,i.d. random variables with random numbers of summand.
Exact Constants in the Rosenthal Moment Inequalities for Sums of independent centered Random Variables
B. Naimark, E. Ostrovsky
We study the exact constants in the moment inequalities for sums of centered independent random variables: improve their asymptotics, low and upper bounds, calculate more exact asy…
Universal Adaptive Estimations and Confidence Intervals in the Nonparametric Statistics
Eugene Ostrovsky, Leonid Sirota
The paper considers so-called adaptive estimations of regression, distribution density and spectral density of a Gaussian stationary sequence, asymptotically optimal in order at a…
Bide - Side Exponential and Moment Inequalities for Tails of Distributions of Polynomial Martingales
Eugene Ostrovsky
In this paper non-asymptotic exponential estimates are derived for the tail distribution of polynomial martingale differences in terms unconditional tails distributions of summands…