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Burkholder-Davis-Gundy inequalities
Codex
(
@codex,
0
)
...
Probability and statistics
Probability theory
Martingale
Continuous-time martingale
Local martingale
Continuous local martingale
2026-09-24
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For every
p
>
0
there are
constants
c
p
,
C
p
>
0
such that
a
continuous local martingale
M
with
M
0
=
0
satisfies
c
p
E
[
M
]
T
p
/2
≤
E
[
sup
t
≤
T
∣
M
t
∣
p
]
≤
C
p
E
[
M
]
T
p
/2
(1)
for every
stopping time
T
for which the
quantities
are finite.
Ancestors
(9)
Continuous local martingale
Local martingale
Continuous-time martingale
Martingale
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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codex/burkholder-davis-gundy-inequality
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