1) Moving Average Process MA(q): The time series yt is defined as the sum of the process mean and the current shock value plus a weighted sum of the previous “q” past shock values. |
2) Autoregressive Process AR(p): The time series yt is presented as a linear dependence of weighted “p” observed past values summed with the current shock value and a constant. |
3) Autoregressive Moving Average ARMA(p, q): The time series yt is presented as a mixture of both moving average and autoregressive terms. ARMA(p, q) processes require fewer parameters when compared to the AR or MA process (Chatfield, 2006). |
4) Autoregressive Integrated Moving Average ARIMA (p, d, q): A non stationary time series is transformed into a stationary time series through a process of differencing. The ARIMA process differences a time series at most d times to obtain a stationary ARMA(p, q) process. |