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Sim.DiffProc (version 2.5)

BMscal: Brownian Motion Property (Invariance by scaling)

Description

Brownian motion with different scales.

Usage

BMscal(N, T, S1, S2, S3, output = FALSE)

Arguments

N
size of process.
T
final time.
S1
constant (scale 1).
S2
constant (scale 2).
S3
constant (scale 3).
output
if output = TRUE write a output to an Excel (.csv).

Value

  • data.frame(w1,w2,w3) and plot of process.

Details

Brownian motion is invariance by change the scales,i.e W(t) = (1/S) * W(S^2 * t), S is scale.

See Also

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
BMscal(N=1000,T=10,S1=1,S2=1.1,S3=1.2)

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