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Brownian motion
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Words: 380
Articles: 16
A standard Brownian motion starts at zero, has almost surely continuous paths, and has independent Gaussian increments
W
t
−
W
s
∼
N
(
0
,
t
−
s
)
(
0
≤
s
<
t
)
.
(30)
Table of contents
380
16
Brownian bridge
Brownian motion
22
Exponential Brownian martingale
Brownian motion
103
3
Risk-neutral measure for the Black-Scholes model
Exponential Brownian martingale
72
2
Power payoff in the Black-Scholes model
Risk-neutral measure for the Black-Scholes model
9
Brownian time reversal for fixed-strike lookback extrema
Risk-neutral measure for the Black-Scholes model
37
Gaussian-process characterization of Brownian motion
Brownian motion
15
Time inversion of Brownian motion
Brownian motion
26
Brownian motion with drift
Brownian motion
59
3
Finite-horizon maximum of Brownian motion with negative drift
Brownian motion with drift
20
Infinite-horizon crossing probability for Brownian motion with negative drift
Brownian motion with drift
5
Last passage time above a level for Brownian motion with negative drift
Brownian motion with drift
20
Brownian reflection principle
Brownian motion
25
Cameron-Martin theorem for a linear drift
Brownian motion
23
Brownian transition semigroup
Brownian motion
44
1
Brownian compensator martingale
Brownian transition semigroup
26
Exponential test-function characterization of Brownian motion
Brownian motion
42
Ancestors
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Stochastic process
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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Brownian motion with drift
Gaussian-process characterization of Brownian motion
Solution
Solution
Solution
Solution
Solution
Time inversion of Brownian motion