Neural network forecasting for seasonal and trend time series.

*(English)*Zbl 1066.62094Summary: Neural networks have been widely used as a promising method for time series forecasting. However, limited empirical studies on seasonal time series forecasting with neural networks yield mixed results. While some find that neural networks are able to model seasonality directly and prior deseasonalization is not necessary, others conclude just the opposite.

We investigate the issue of how to effectively model time series with both seasonal and trend patterns. In particular, we study the effectiveness of data preprocessing, including deseasonalization and detrending, in neural network modeling and forecasting performance. Both simulation and real data are examined and results are compared to those obtained from the Box-Jenkins seasonal autoregressive integrated moving average models. We find that neural networks are not able to capture seasonal or trend variations effectively with the unpreprocessed raw data and either detrending or deseasonalization can dramatically reduce forecasting errors. Moreover, a combined detrending and deseasonalization is found to be the most effective data preprocessing approach.

We investigate the issue of how to effectively model time series with both seasonal and trend patterns. In particular, we study the effectiveness of data preprocessing, including deseasonalization and detrending, in neural network modeling and forecasting performance. Both simulation and real data are examined and results are compared to those obtained from the Box-Jenkins seasonal autoregressive integrated moving average models. We find that neural networks are not able to capture seasonal or trend variations effectively with the unpreprocessed raw data and either detrending or deseasonalization can dramatically reduce forecasting errors. Moreover, a combined detrending and deseasonalization is found to be the most effective data preprocessing approach.

##### MSC:

62M45 | Neural nets and related approaches to inference from stochastic processes |

62M20 | Inference from stochastic processes and prediction |

62M10 | Time series, auto-correlation, regression, etc. in statistics (GARCH) |

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\textit{G. P. Zhang} and \textit{M. Qi}, Eur. J. Oper. Res. 160, No. 2, 501--514 (2005; Zbl 1066.62094)

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