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Laws of large numbers in Banach lattices. (English) Zbl 0538.60010
In this paper random variables which take values in a separable countably order complete B-lattice are studied. The author proves sufficient conditions for a sequence of such random variables to obey the strong law of large numbers with respect to the order convergence.

MSC:
60B12 Limit theorems for vector-valued random variables (infinite-dimensional case)
46A40 Ordered topological linear spaces, vector lattices
46B42 Banach lattices
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