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I am currently conducting some post-grad research about wireless transmissions with uncertain transmission delays. As part of the research, each individual transmission is modelled using a probability ...

Let me paraphrase Caratheodory's theorem in a probabilistic setup: Let $X$ be a real-valued random variable. For $k = 1, \ldots, m$, let $f_k: \mathbb{R} \to \mathbb{R}$ be a continuous function such ...