22 citations · 217 across the 88 of their papers we have counts for
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Entropy and Grand Lebesgue Spaces approach for Prokhorov-Skorokhod continuity of random processes, with tail estimates
E. Ostrovsky, L. Sirota
We present in this paper a new sufficient condition for the so-called Prokhorov-Skorokhod continuity of random processes. Our conditions will be formulated in the terms of metric e…
Non-asymptotical sharp exponential estimates for maximum distribution of discontinuous random fields
E. Ostrovsky, L. Sirota
We offer in this paper the non-asymptotical bilateral sharp exponential estimates for tail of maximum distribution of {\it discontinuous} random fields. Our consideration based on…
Vector rearrangement invariant banach spaces of random variables with exponential decreasing tails of distributions
E. Ostrovsky, L. Sirota
We present in this paper the theory of multivariate Banach spaces of random variables with exponential decreasing tails of distributions.
Non-uniform non-asymptotical sharp estimate for the rate of convergence for Bernstein's polynomial approximation, with bilateral constant evaluation
Eugene Ostrovsky, Leonid Sirota
We derive the non-asymptotical non-uniform sharp error estimation for Bernstein's approximation of continuous function based on the modern probabilistic apparatus. We investigate a…
Can the tail for maximum of continuous random field be significantly more heavy than maximum of tails?
Eugene Ostrovsky, Leonid Sirota
We construct an example of a continuous centered random process with light tails of finite-dimensional distribution but with (relatively) heavy tail of maximum distribution. The ap…
Grand Lebesgue norm estimation for binary random variables, with applications
Eugene Ostrovsky, Leonid Sirota
We calculate the so-called Rademacher's Grand Lebesgue Space norm for a centered (shifted) indicator (Bernoulli's, binary) random variable. This norm is optimal for the centered an…