Modeling and forecasting petroleum motor spirit (PMS) prices in Nigeria: An ARIMA-based time series analysis

Authors

  • P.O. Evans Department of Mathematics and Statistics, Federal Polytechnic Bida, PMB 55, Bida, Niger State, Nigeria https://orcid.org/0009-0000-6075-3539
  • M.O. Abifarin Department of Statistics, Federal University of Technology Minna, PMB 65, Minna, Niger State, Nigeria https://orcid.org/0009-0001-5287-6173
  • E.A. Ali Department of Statistics, Federal University of Technology Minna, PMB 65, Minna, Niger State, Nigeria

DOI:

https://doi.org/10.64497/jssci.82

Keywords:

Petroleum Motor Spirit (PMS),, Autocorrelation Function (ACF), Partial Autocorrelation Function (PACF), Autoregressive Integrated Moving Average Model (ARIMA), Stationarity

Abstract

This study investigated the trend and forecasting of petroleum motor spirit (PMS) prices in Nigeria using the autoregressive integrated moving average (ARIMA) modeling approach. Monthly PMS price data were analyzed to identify underlying trends and stationarity. Preliminary analysis using Augmented Dickey-Fuller (ADF) tests confirmed stationarity at the first difference. Model selection was guided by the examination of autocorrelation function (ACF) and partial autocorrelation function (PACF) plots, resulting in the estimation of ARIMA(5,1,0), ARIMA(0,1,5), and ARIMA(5,1,5) models. Among these, ARIMA(0,1,5) demonstrated superior performance with the lowest Akaike information criterion (AIC) and Bayesian information criterion (BIC), and residual diagnostics confirmed model adequacy. The model captures the historical dynamics of PMS prices and offers reliable forecasts that can inform policymakers and stakeholders in planning for fuel price stabilization and economic management.

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References

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Published

2025-12-26

How to Cite

Evans, P., Abifarin, M., & Ali, E. (2025). Modeling and forecasting petroleum motor spirit (PMS) prices in Nigeria: An ARIMA-based time series analysis. Journal of Statistical Sciences and Computational Intelligence, 1(4), 485–494. https://doi.org/10.64497/jssci.82
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