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world:forward-downward-martingale [2026/02/03 16:14] rdouc ↷ Page name changed from world:foward-downward-martingale to world:forward-downward-martingale |
world:forward-downward-martingale [2026/02/03 16:16] (current) rdouc [Theorem 2 (Doob's Forward Convergence Theorem)] |
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| Summing the contributions of all completed upcrossings and accounting for the final correction yields the stated inequality. ∎ | Summing the contributions of all completed upcrossings and accounting for the final correction yields the stated inequality. ∎ | ||
| - | ===== Theorem 2 (Doob's Forward Convergence Theorem) ===== | + | ===== Theorem 1 (Doob's Forward Convergence Theorem) ===== |
| <WRAP center round todo 80%> | <WRAP center round todo 80%> | ||