Presents a comparative study for prediction of time series of the Consumer Price Index-CPI using recurrent neural network (RNN). For this, three models are designed for networks with recurrent and are given the changes in "backpropagation" to allow them to incorporate the models ARX (Auto-Regressive with external input) and NARX (Nonlinear Auto Regressive with external input). Furthermore, we present a third architecture, re-fed with the hidden layer, nicknamed ARXI, which is a special case of the Elman Network. Is carried out training for all networks and tests the ability to generalize them (identification stage), in order to select the best architectures of recurrent networks to prediction of the IPC. After this stage, it makes the models validation, by means of the test the extrapolation capacity of the networks, i.e., presented data were not used during the training phase and gets the responses that indicate the capacity to predict future CPI for various times (validation phase). We conclude that NARX networks are those with best performance and that the hybrid system proposed by  constitutes an excellent tool when you want to get minimal networks that make a series of perdition satisfactorily.
Recurrent Neural Networks,Time Series Prediction,NARX network