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Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices

For a sequence of independent random elements belonging to an ideal of order-bounded elements of a Banach lattice, we investigate the asymptotic relative stability of extremal values, the law of large numbers for the pth powers, and the central limit theorem.

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Bibliographic Details
Date:	2001
Main Authors:	Matsak, I. K., Plichko, A. M., Мацак, І. К., Плічко, А. М.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2001
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4219
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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