No subtopics of Functional Analysis
- A structural characterization of numeraires of convex sets of nonnegative random variables
- A characterization of freeness by invariance under quantum spreading
- Fine Gaussian fluctuations on the Poisson space, I: contractions, cumulants and geometric random graphs
- Quasi-invariance of countable products of Cauchy measures under translations and non-unitary dilations
Forward-convex convergence in probability of sequences of nonnegative random variables
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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