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Brownian Bridge
created by:
Thijs van den Berg
(http://www.sitmo.com)
The Brownian Bridge is used to generate new samples between two known samples of a Brownian motion path.
List of symbols
Known fixed starting value of the Brownian motion
Know fixed end value of the Brownian motion
Standard normal (Gaussian) distributed variable
Related Equations
(r,s)-Fold Trimmed Mean Filters »
Bayes's Rule »
Brownian motion: integrating »
Brownian motion: some properties »
Brownian motion: transform invariants »
Calibrating the Schwartz type 1 model »
Characteristic function »
Conditional distribution »
Correlation coefficient »
Expected value »
Generating an Exponential distributed random number »
Generating Normal (Gaussian) distributed random numbers »
Generating Pareto distributed random number »
Independent random variables »
Ito's formula »
Ito's lemma »
Ito's lemma: Z=ln(S) »
Jointly Normal Distribution density function »
Mean - Variance and r-moment about the mean »
Mean Square Estimation of r.v's »
Numerical SDE Integration: Euler Maruyama »
Numerical SDE Integration: Milstein »
Orthogonal r.v.'s »
Properties of the stochastic integral »
Simulating an Ornstein-Uhlenbeck Process »
Simulating geometric Brownian motion »
Simulating geometric Brownian motion with a cash dividend »
Simulating geometric Brownian motion with a stock dividend »
Simulating geometric Brownian motion with multiple cash dividends »
Simulating interest rates with the Vasicek model »
Simulating the Schwartz type 1 stochastic process »
Main Equations Index »
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