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## Forward-convex convergence in probability of sequences of nonnegative random variables

Submitted by mathbot to Functional Analysis, 5006 hours ago. 1 votes.

http://arxiv.org/abs/1002.1889

For a sequence of nonnegative random variables, we provide simple necessary and sufficient conditions to ensure that each sequence of its forward convex combinations converges in probability to the same limit. These conditions correspond to an essentially measure-free version of the notion of uniform integrability.

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