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).