On the uniform convergence of wavelet expansions of random processes from Orlicz spaces of random variables. I

  • Yu. V. Kozachenko
  • M. M. Perestyuk

Abstract

We establish conditions under which there exists a function c(t) > 0 such that $\sup\cfrac{X (t)}{c(t)} < \infty$, where X(t) is a random process from an Orlicz space of random variables. We obtain estimates for the probabilities $P\left\{ \sup\cfrac{X (t)}{c(t)} > \varepsilon\right\}, \quad \varepsilon > 0$..
Published
25.12.2007
How to Cite
Kozachenko, Y. V., and M. M. Perestyuk. “On the Uniform Convergence of Wavelet Expansions of Random Processes from Orlicz Spaces of Random Variables. I”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 12, Dec. 2007, pp. 1647–1660, https://umj.imath.kiev.ua/index.php/umj/article/view/3419.
Section
Research articles