“…Examples of traditional time series methods are the exponential smoothing method, the moving average (MA) method, the time series decomposition method, the autoregressive integrated-moving average (ARIMA) and the seasonal ARIMA (SARIMA) models. Failure data of repairable systems have been analyzed and used for forecasting by exponential smoothing (Healy, 1997), MA (Xie et al, 1997;Wang et al, 2007), and time series decomposition methods (Liang, 2009), as well as by the ARIMA and SARIMA models (Singpurwalla, 1978;Singh et al, 1994;Liang and Tong, 2001).…”