23 citations · 83 across the 6 of their papers we have counts for
6 papers
Asymptotic exponential bounds for MLE deviation under minimal conditions via classical and generic chaining methods
E. Ostrovsky, E. Rogover
In this paper non-asymptotic exact exponential estimates are derived (under minimal conditions) for the tail of deviation of the MLE distribution in the so-called natural terms: na…
Exact Asymptotic for the Tail of Maximum of Smooth Random Field Distribution
E. Ostrovsky
We obtain in this paper using the saddle point method the expression for the exact asymptotic for the tail of maximum of smooth (twice continuous differentiable) random field (proc…
Support of Borelian Measures in Separable Banach Spaces
E. Ostrovsky
We prove in this article that every Borelian measure, for example, the distribution of a random variable, in separable Banach space has a support which is compact embedded Banach s…
Nikol'skii-type inequalities for rearrangement invariant spaces
E. Ostrovsky, L. Sirota
In this paper we generalize the classical Nikol'skii inequality on the many popular classes pairs of rearrangement invariant (r.i.) spaces and construct some examples in order to s…
Schlomilch and Bell Series for Bessel's Functions, with Probabilistic Applications
E. Ostrovsky, L. Sirota
We have introduced and investigated so-called Shlomilchs and Bells series for modified Bessel's functions, namely, their asymptotic and non-asymptotic properties, connection with S…
Exact exponential bounds for the random field maximum distribution via the majoring measures (generic chaining)
E. Ostrovsky, E. Rogover
In this paper non-asymptotic exact exponential estimates are derived for the tail of maximum distribution of random field in the terms of majoring measures or, equally, generic cha…