Subnormal independent random variables and Levy’s phenomenon for entire functions

Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 1

Abstract

Suppose that (Zn) is a sequence of real independent subnormal random variables, i.e. such that there exists D>0 satisfying following inequality for expectation E(eλ0Zk)≤eDλ20 for any k∈N for all λ0∈R. In this paper is proved that for random entire functions of the form f(z,ω)=∑+∞n=0Zn(ω)anzn Levy's phenomenon holds.

Authors and Affiliations

Andriy Kuryliak

Keywords

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  • EP ID EP310025
  • DOI 10.15330/ms.47.1.10-19
  • Views 87
  • Downloads 0

How To Cite

Andriy Kuryliak (2017). Subnormal independent random variables and Levy’s phenomenon for entire functions. Математичні Студії, 47(1), 10-19. https://europub.co.uk/articles/-A-310025