“…Thus, some nonlinear, nonparametric alternative approaches are proposed and adopted to estimate the time series models, the prevailing representative among them is the Artificial Neural Network (ANN). Plentiful of studies on ANN denote that ANN approach outperforms traditional MLE in forecasting financial time series and, particularly, the recurrent ANN with richer dynamic structure could capture more characteristics of data in the generalization period than the feedforward one ( (Kuan, 1995), (Wu, 1995), (Tian, Juhola & Grönfors, 1997), (Lisi & Schiavo, 1999), (Ashok & Mitra, 2002), (Gaudart, Giusiano & Huiart, 2004), (Kamruzzaman & Sarker, 2004)), but some indicate mixed or opposite results ( (Adya & Collopy, 1998); (Kanas, 2003)). While the ANN is theoretically better in estimating nonlinear finite samples without invoking a probabilistic distribution, however, it has been criticized to be vulnerable to the over-fitting problem which usually leads to a local optimum and to the empirical risk minimization, same as the MLE 1 , the latter of which results in good fit and poor forecast out-of-sample.…”