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Sim.DiffProc (version 2.5)

BMIrt: Brownian Motion Property (Invariance by reversal of time)

Description

Brownian motion is invariance by reversal of time.

Usage

BMIrt(N, T)

Arguments

N
size of process.
T
final time.

Value

  • plot of W(T-t) - W(T).

Details

Brownian motion is invariance by reversal of time,i.e W(t) = W(T-t) - W(T).

See Also

BMN simulation brownian motion by the Normal Distribution , BMRW simulation brownian motion by a Random Walk, BMinf Brownian Motion Property (time tends towards the infinite), BMscal brownian motion property (invariance by scaling), BMcov empirical covariance for brownian motion.

Examples

Run this code
BMIrt(N=1000,T=1)

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