Estimates for Distributions of Hölder Semi-Norms of Random Processes from Fψ(Ω) Spaces, Defined on the Interval [0,∞)

  • Yurii Vasylovych Kozachenko 1. Taras Shevchenko National University of Kyiv 2. Vasyl’ Stus Donetsk National University
  • Dmytro Vasylovych Zatula Taras Shevchenko National University of Kyiv
DOI: https://doi.org/10.19139/soic.v7i1.463
Keywords: Random Processes, Fψ(Ω) Spaces of Random Variables, Moduli of Continuity, Hölder Semi-norms

Abstract

In the present article we study properties of random processes from the Banach spaces Fψ(Ω). Estimates are obtained for distributions of semi-norms of sample functions of processes from Fψ(Ω) spaces, defined on the infinite interval [0,∞), in Hölder spaces.

Author Biographies

Yurii Vasylovych Kozachenko, 1. Taras Shevchenko National University of Kyiv 2. Vasyl’ Stus Donetsk National University
1. Department of Probability Theory, Statistics and Actuarial Mathematics, Prof.2. Department of Probability Theory and Mathematical Statistics, Head
Dmytro Vasylovych Zatula, Taras Shevchenko National University of Kyiv
Department of Computational Mathematics, Assist. prof.

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Published
2019-01-07
How to Cite
Kozachenko, Y. V., & Zatula, D. V. (2019). Estimates for Distributions of Hölder Semi-Norms of Random Processes from Fψ(Ω) Spaces, Defined on the Interval [0,∞). Statistics, Optimization & Information Computing, 7(1), 198-210. https://doi.org/10.19139/soic.v7i1.463
Issue
Vol 7 No 1 (2019)
Section
Research Articles
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