2017
Том 69
№ 9

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

Matsak I. K., Plichko A. M.

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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.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 1, pp 48-58.

Citation Example: Matsak I. K., Plichko A. M. Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices // Ukr. Mat. Zh. - 2001. - 53, № 1. - pp. 41-49.

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