What is a Random Walk model and how can you simulate it using R?

A random walk is a simple example of non-stationary process.

A random walk has:

  • No specified mean or variance
  • Strong dependence over time
  • It’s changes or increments are white noise

Simulating random walk in R:

arima.sim(model=list(order=c(0,1,0)),n=50)->rw
ts.plot(rw)

rw