title: R: Generate a Seasonal ARIMA time-series model using parameters of existing data
body: <p>I have a count time series data which I'm able to use to determine the parameters of the underlying stochastic process. For example say I have a SARIMA (p,d,q)(P,D,Q)[S] seasonal ARIMA model.</p>
  
  <p>How do I use this to generate a new count time series data set?</p>
  
  <p>Being even more specific: a SARIMA(1,0,1)(1,0,0)[12] - how can I generate a time series for a 10 year period for each month? (i.e., 120 points to estimate the number of 'counts'.)</p>