Nonstationary Time Series Models

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Applied Time Series Analysis and Forecasting with Python

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Abstract

This chapter focuses on the Box-Jenkins approach to building models for nonstationary time series. It contains ARIMA modeling for nonseasonal time series presented in Chap. 4 and SARIMA modeling for seasonal time series to be considered in this chapter. Through case study, we demonstrate how to use Python to implement the Box-Jenkins method. In addition, we also discuss REGARMA models.

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References

  • Box, G.E.P., Jenkins, G.M., Reinsel, G.C., Ljung, G.M.: Time Series Analysis: Forecasting and Control, 5th edn. Wiley, Hoboken, NJ (2016)

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  • Brockwell, P.J., Davis, R.A.: Introduction to Time Series and Forecasting, 3rd edn. Springer, Switzerland (2016)

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  • Cowpertwait, P., Metcalfe, A.: Introductory Time Series with R. Springer, New York (2009)

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  • Hyndman, R.J., Athanasopoulos, G.: Forecasting: Principles and Practice, 2nd edn. OTexts, Melbourne (2018)

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Huang, C., Petukhina, A. (2022). Nonstationary Time Series Models. In: Applied Time Series Analysis and Forecasting with Python. Statistics and Computing. Springer, Cham. https://doi.org/10.1007/978-3-031-13584-2_5

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