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

• Date: 2007
• Main Authors: Kozachenko, Yu. V., Perestyuk, M. M., Козаченко, Ю. В., Перестюк, М. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3419
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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\...