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A SARIMA and Adjusted SARIMA Models in a Seasonal Nonstationary Time Series; Evidence of Enugu Monthly Rainfall

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  • Chibuzo Gabriel Amaefula

Abstract

The paper compares SARIMA and adjusted SARIMA(ASARIMA) in a regular stationary series where the underlying variable is seasonally nonstationary. Adopting empirical rainfall data and Box-Jenkins iterative algorithm that calculates least squares estimates, Out of 11 sub-classes of SARIMA and 7 sub-classes of ASARIMA models, AIC chose ASARIMA(2,1,1)12 over all sub-classes of SARIMA(p,0,q)x(P,1,Q)12 identified. Diagnostic test indicates absence of autocorrelation up to the 48th lag. The forecast values generated by the fitted model are closely related to the actual values. Hence, ASARIMA can be recommended for regular stationary time series with seasonal characteristics and where parameter redundancy and large sum of square errors are penalized.

Suggested Citation

  • Chibuzo Gabriel Amaefula, 2021. "A SARIMA and Adjusted SARIMA Models in a Seasonal Nonstationary Time Series; Evidence of Enugu Monthly Rainfall," European Journal of Mathematics and Statistics, European Open Science, vol. 2(1), pages 13-18, January.
  • Handle: RePEc:epw:ejmath:v:2:y:2021:i:1:id:14015
    DOI: 10.24018/ejmath.2021.2.1.15
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    References listed on IDEAS

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    1. Ette Harrison Etuk & Imoh Udo Moffat & Benjamin Ele Chims, 2013. "Modelling Monthly Rainfall Data of Port Harcourt, Nigeria by Seasonal Box-Jenkins Methods," International Journal of Sciences, Office ijSciences, vol. 2(07), pages 60-67, July.
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