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Forecasting nonlinear time series with feed-forward neural networks: a case study of Canadian lynx data

Author

Listed:
  • Yoshio Kajitani

    (Central Research Institute of Electric Power Industry, Japan)

  • A. Ian Mcleod

    (University of Western Ontario, Canada)

  • Keith W. Hipel

    (University of Waterloo, Canada)

Abstract

The forecasting capabilities of feed-forward neural network (FFNN) models are compared to those of other competing time series models by carrying out forecasting experiments. As demonstrated by the detailed forecasting results for the Canadian lynx data set, FFNN models perform very well, especially when the series contains nonlinear and non-Gaussian characteristics. To compare the forecasting accuracy of a FFNN model with an alternative model, Pitman's test is employed to ascertain if one model forecasts significantly better than another when generating one-step-ahead forecasts. Moreover, the residual-fit spread plot is utilized in a novel fashion in this paper to compare visually out-of-sample forecasts of two alternative forecasting models. Finally, forecasting findings on the lynx data are used to explain under what conditions one would expect FFNN models to furnish reliable and accurate forecasts. Copyright © 2005 John Wiley & Sons, Ltd.

Suggested Citation

  • Yoshio Kajitani & A. Ian Mcleod & Keith W. Hipel, 2005. "Forecasting nonlinear time series with feed-forward neural networks: a case study of Canadian lynx data," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 24(2), pages 105-117.
    • Handle: RePEc:jof:jforec:v:24:y:2005:i:2:p:105-117
    DOI: 10.1002/for.940
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    References listed on IDEAS

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    1. Henrik Amilon, 2003. "A neural network versus Black-Scholes: a comparison of pricing and hedging performances," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 22(4), pages 317-335.
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    Cited by:

    1. Min Gan & C.L. Philip Chen & Long Chen & Chun-Yang Zhang, 2016. "Exploiting the interpretability and forecasting ability of the RBF-AR model for nonlinear time series," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(8), pages 1868-1876, June.
    2. Huang, Lili & Wang, Jun, 2018. "Global crude oil price prediction and synchronization based accuracy evaluation using random wavelet neural network," Energy, Elsevier, vol. 151(C), pages 875-888.
    3. Wang, Jie & Wang, Jun, 2016. "Forecasting energy market indices with recurrent neural networks: Case study of crude oil price fluctuations," Energy, Elsevier, vol. 102(C), pages 365-374.
    4. Cen, Zhongpei & Wang, Jun, 2019. "Crude oil price prediction model with long short term memory deep learning based on prior knowledge data transfer," Energy, Elsevier, vol. 169(C), pages 160-171.
    5. Jying-Nan Wang & Jiangze Du & Chonghui Jiang & Kin-Keung Lai, 2019. "Chinese Currency Exchange Rates Forecasting with EMD-Based Neural Network," Complexity, Hindawi, vol. 2019, pages 1-15, October.
    6. Marcos Álvarez-Díaz & Rangan Gupta, 2015. "Forecasting the US CPI: Does Nonlinearity Matter?," Working Papers 201512, University of Pretoria, Department of Economics.

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