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Submartingale Convergence Theorem

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Question

Let (Xn) be a submartingale such that supn Xn < ∞ a.s. and E supn (Xn−Xn−1) + < ∞. Show that Xn converges a.s.

Summary

The question belongs to Mathematics and it is about submartingale converging.

Note: The solution is in handwritten format.

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