Research Article Open Access

Parameters Estimate of Autoregressive Moving Average and Autoregressive Integrated Moving Average Models and Compare Their Ability for Inflow Forecasting

Mohammad Valipour1, Mohammad Ebrahim Banihabib1 and Seyyed Mahmood Reza Behbahani1
  • 1 University of Tehran, Iran
Journal of Mathematics and Statistics
Volume 8 No. 3, 2012, 330-338

DOI: https://doi.org/10.3844/jmssp.2012.330.338

Submitted On: 31 July 2012 Published On: 30 August 2012

How to Cite: Valipour, M., Banihabib, M. E. & Behbahani, S. M. R. (2012). Parameters Estimate of Autoregressive Moving Average and Autoregressive Integrated Moving Average Models and Compare Their Ability for Inflow Forecasting. Journal of Mathematics and Statistics, 8(3), 330-338. https://doi.org/10.3844/jmssp.2012.330.338

Abstract

In this study the ability of Autoregressive Moving Average (ARMA) and Autoregressive Integrated Moving Average (ARIMA) models in forecasting the monthly inflow of Dez dam reservoir located in Teleh Zang station in Dez dam upstream is estimated. ARIMA model has found a widespread application in many practical sciences. In addition, dam reservoir inflow forecasting is done by some methods such as ordinary linear regression, ARMA and artificial neural networks. On the other hand, application of both ARMA and ARIMA models simultaneously in order to compare their ability in autoregressive forecast of monthly inflow of dam reservoir has not been carried out in previous researches. Therefore, this paper attempts to forecast the inflow of Dez dam reservoir by using ARMA and ARIMA models while increasing the number of parameters in order to increase the forecast accuracy to four parameters and comparing them. In ARMA and ARIMA models, the polynomial was derived respectively with four and six parameters to forecast the inflow. By comparing root mean square error of the model, it was determined that ARIMA model can forecast inflow to the Dez reservoir from 12 months ago with lower error than the ARMA model.

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Keywords

  • ARIMA
  • ARMA
  • modeling
  • dez dam
  • forecast of dam reservoir inflow