Dear all:

If I use the monthly data from 1980M1 to 1990M12(the number of samples is 132)and there are there ARIMA model: ARIMA(1,1,1), ARIMA(2,1,0), and ARIMA(1,1,0)(1,1,0)12. Can I choose the model by AIC or BIC from these three models when the number of using observations different?

When estimating the model,

The using observations of ARIMA(1,1,1) : 1980M3 to 1990M12. (number:130)

The using observations of ARIMA(2,1,0):1980M4 to 1990M12. (number:129)

The using observations of ARIMA(1,1,0)(1,1,0)12:1983M3 to 1990M12. (number:106)

Can I compare AIC of these three models when the number of using observations are different ?

How should I choose the model by AIC?  Is the basis of comparison different?