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Continuous-time martingale convergence theorem
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Area of mathematics
Probability and statistics
Probability theory
Martingale
Doob upcrossing inequality
Martingale convergence theorem
Created
2026-09-24
Updated
2026-09-24
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A
right-continuous
continuous-time martingale
with
sup
t
≥
0
E
∣
M
t
∣
<
∞
has an
almost
-sure
finite limit
as
t
→
∞
.
Ancestors
(8)
Martingale convergence theorem
Doob upcrossing inequality
Martingale
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 201
/
3
/
c
/
Solution
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