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

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

2010-02-09

arxiv.org/abs/1002.1889v3

Mathematics

Functional Analysis

11 pages - new version with strengthened result and simplified proof

Scientific paper

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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