Over-Differencing and Forecasting with Non-Stationary Time Series Data

Authors

  • Zakir Hossain Department of Statistics, Dhaka University, Dhaka-1000, Bangladesh
  • Atikur Rahman Department of Statistics, Jagannath University, Dhaka-1100, Bangladesh
  • Moyazzem Hossain Department of Statistics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh
  • Jamil Hasan Karami Department of Statistics, Dhaka University, Dhaka-1000, Bangladesh

DOI:

https://doi.org/10.3329/dujs.v67i1.54568

Keywords:

Autoregressive model, Autocorrelation and partial autocorrelation function.

Abstract

In time series analysis, over-differencing is a common phenomenon to make the data to be stationary. However, it is not always a good idea to take over-differencing in order to ensure the stationarity of time series data. In this paper, the effect of over-differencing has been investigated via a simulation study to observe how far or how close the fitted model from the true one. Simulation results show that the fitted model is found to be different and very far from the true model because of over-differencing in most of the scenarios considered in this study. In practice, it may be worthy to consider differencing as well as suitable transformation of the time series data to make it stationary. Both transformation and differencing are used for a non-stationary time series data on average monthly house prices to ensure it to be stationary. We then analyse the data and make prediction for the future values.

Dhaka Univ. J. Sci. 67(1): 21-26, 2019 (January)

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Published

2019-01-30

How to Cite

Hossain, Z., Rahman, A., Hossain, M., & Karami, J. H. (2019). Over-Differencing and Forecasting with Non-Stationary Time Series Data. Dhaka University Journal of Science, 67(1), 21–26. https://doi.org/10.3329/dujs.v67i1.54568

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