Lipschitz conditions for random processes from Banach spaces Fψ(Ω) of random variables

Authors

  • D.V. Zatula
  • Yu.V. Kozachenko

DOI:

https://doi.org/10.15407/dopovidi2014.09.019

Keywords:

Banach spaces, Lipschitz conditions, random processes

Abstract

We study the Lipschitz continuity of random processes from Banach spaces Fψ(Ω) and obtain the estimates for a distribution of the norms of such processes.

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References

Ermakov S. V., Ostrovsky E. I. The continuity conditions, exponential bounds and central limit theorem for random fields. In Dep. v VINITI No 3752-B.86.0, 1986 (in Russian).

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Buldygin V. V., Kozachenko Yu. V. Metric Characterization of Random Variables and Random Processes. Providence, RI: AMS, 2000.

Zatula D. V. Bull. Taras Shevchenko Nat. Univ. Kyiv. Ser. Phys. & Math., 2013, No 2: 23–28.

Kozachenko Yu., Sottinen T., Vasylyk O. Theor. Probab. and Math. Statist., 2011, No 82: 57–73.

Mlavets Yu. Yu. Bull. Taras Shevchenko Nat. Univ. Kyiv. Ser. Phys. & Math., 2012, No 2: 19–22 (in Ukrainian).

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Published

06.03.2025

How to Cite

Zatula, D., & Kozachenko, Y. (2025). Lipschitz conditions for random processes from Banach spaces Fψ(Ω) of random variables . Reports of the National Academy of Sciences of Ukraine, (9), 19–24. https://doi.org/10.15407/dopovidi2014.09.019

Issue

No. 9 (2014): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

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