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

• Datum: 2001
• Hauptverfasser: Matsak, I. K., Plichko, A. M., Мацак, І. К., Плічко, А. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2001
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4219
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.