, Volume 53, Issue 1, pp 48-58

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

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Abstract

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.