Distribution of the supremum of random processes from quasi-Banach $K_{σ}$-spaces

• Date: 1999
• Main Authors: Kozachenko, Yu. V., Козаченко, Ю. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4681
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study random processes from quasi-Banach $K_{σ}$-spaces of random variables whose domain of definition is not necessarily a compact set. We establish conditions under which the supremum of a properly normalized process belongs to the same space as the process itself. We also obtain estimates for...