How to choose ARMA model?
Choosing the Best ARMA(p,q) Model
In order to determine which order of the ARMA model is appropriate for a series, we need to use the AIC (or BIC) across a subset of values for , and then apply the Ljung-Box test to determine if a good fit has been achieved, for particular values of .
What is the difference between ARMA and ARIMA?
ARIMA (Auto-Regressive Integrated Moving Average) Model
The ARIMA model is quite similar to the ARMA model other than the fact that it includes one more factor known as Integrated( I ) i.e. differencing which stands for I in the ARIMA model.