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Random Operators and Stochastic Equations

Editor-in-Chief: Girko, Vyacheslav

Managing Editor: Molchanov, S.

Editorial Board Member: Accardi, L. / Albeverio, Sergio / Carmona, R. / Casati, G. / Christopeit, N. / Domanski, C. / Drygas, Hilmar / Gupta, A.K. / Ibragimov, I. / Kirsch, Werner / Klein, A. / Kondratyev, Yuri / Kurotschka, V. / Leonenko, N. / Loubaton, Philippe / Orsingher, E. / Pastur, L. / Rodrigues, Waldyr A. / Shiryaev, Albert / Turbin, A.F. / Veretennikov, Alexandre

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1569-397X
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Volume 22, Issue 2 (Jun 2014)

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Estimates of distributions for some functionals of stochastic processes from an Orlicz space

Yuriy Kozachenko
  • Department of Probability Theory, Statistics and Actuarial Mathematics, Kyiv National Taras Shevchenko University, 64, Volodymyrs'ka St., 01601 Kyiv, Ukraine
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/ Mykola Sergiienko
  • Department of Probability Theory, Statistics and Actuarial Mathematics, Kyiv National Taras Shevchenko University, 64, Volodymyrs'ka St., 01601 Kyiv, Ukraine
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Published Online: 2014-03-07 | DOI: https://doi.org/10.1515/rose-2014-0007

Abstract.

We consider stochastic processes from an Orlicz space of random variables. There are obtained estimates for distributions of some functionals from this space. Square Gaussian stochastic processes are investigated in more detail.

Keywords: Method of majorizing measures; Orlicz space; Gaussian stochastic processes; square Gaussian stochastic processes

MSC: 60G15; 46E30

About the article

Received: 2013-03-25

Accepted: 2014-02-02

Published Online: 2014-03-07

Published in Print: 2014-06-01


Citation Information: Random Operators and Stochastic Equations, ISSN (Online) 1569-397X, ISSN (Print) 0926-6364, DOI: https://doi.org/10.1515/rose-2014-0007.

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