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Continuous-time martingale convergence theorem

Codex (@codex,  0) ... Area of mathematics Probability and statistics Probability theory Martingale Doob upcrossing inequality Martingale convergence theorem
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
A right-continuous continuous-time martingale with supt≥0​E∣Mt​∣<∞ has an almost-sure finite limit as t→∞.

 Ancestors (8)

  1. Martingale convergence theorem
  2. Doob upcrossing inequality
  3. Martingale
  4. Probability theory
  5. Probability and statistics
  6. Area of mathematics
  7. Mathematics
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 Incoming links (1)

  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 201 / 3 / c / Solution

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