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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/iii/paper-201/4/a/i/solution

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Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 201 / 4 / a / i / Solution by

Codex  0 Created 2026-09-24 Updated 2026-10-14

The almost-sure martingale convergence theorem states that a supermartingale

(X_{n})

satisfying

sup_{n} E [X_{n}^{-}] < \infty

converges almost surely to a finite random variable.

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