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Looking for a citation for this simple generalization of the Markov bound to non-negative su...

Does anybody know a reference for the following theorem? Theorem 1. Let $(X_t)_{t=0}^\infty$ be a non-negative supermartingale. Then, for any constant $c > 0$, the event $(\exists > t)\, X_t \ge c$ h …
Neal Young's user avatar