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Sim.DiffProc (version 2.5)

BMP: Brownian Motion Property (trajectories brownian between function (+/-)2*sqrt(C*t))

Description

trajectories Brownian lies between the two curves (+/-)2*sqrt(C*t).

Usage

BMP(N, M, T, C)

Arguments

N
size of process.
M
number of trajectories.
T
final time.
C
constant positive (if C = 1 it is standard brownian motion).

Value

  • plot of the flow.

Details

A flow of brownian motion lies between the two curves (+/-)2*sqrt(C*t), W(dt) - W(0) ~~> N(0,dt), N(0,dt) normal distribution.

See Also

BMscal brownian motion property (invariance by scaling), BMinf brownian motion Property (time tends towards the infinite), BMcov empirical covariance for brownian motion, BMIrt brownian motion property(invariance by reversal of time).

Examples

Run this code
BMP(N=1000,M=10,T=1,C=1)

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