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Calculation Of Martingale

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Question

Let (Xn) be a martingale and write ∆n = Xn − Xn−1, Suppose that bm ↑ ∞ and Σ∞m=1 b −2m E∆2m < ∞. Prove that Xn/bn → 0 a.s.

Summary

The question belongs to Mathematics and it is about martingale calculation

Note: The solution is in handwritten format.

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