Application of Heuristic Rules and Genetic Algorithm in ARMA Model Estimation for Time Series Prediction

The first step of forecasting time series is to build an appropriate model. Determining orders and estimation of ARMA model parameters is a challenging field in traditional statistical and intelligent methods. In this paper, genetic algorithm is used for parameter estimation and heuristic rules are...

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Main Authors: Mohammadreza Asghari Oskoei, Mohammad Ghasemmzade
Format: Article
Language:fas
Published: University of Tehran 2016-03-01
Series:Journal of Information Technology Management
Subjects:
Online Access:https://jitm.ut.ac.ir/article_55761_c834d3d6cfe322297c5434d754f6b6af.pdf
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author Mohammadreza Asghari Oskoei
Mohammad Ghasemmzade
author_facet Mohammadreza Asghari Oskoei
Mohammad Ghasemmzade
author_sort Mohammadreza Asghari Oskoei
collection DOAJ
description The first step of forecasting time series is to build an appropriate model. Determining orders and estimation of ARMA model parameters is a challenging field in traditional statistical and intelligent methods. In this paper, genetic algorithm is used for parameter estimation and heuristic rules are used to determine orders of ARMA model. Heuristic rules are extracted according to time series properties. The data are selected using sliding time window. Model identification is carried out by using Bayesian information criterion (BIC). The mean squares error and the mean absolute percentage error are used to evaluate the results of prediction. The proposed method was applied to eight time series in different types, and the results were compared with results of statistical methods. The achieved result shows equivalent or superior performance for the proposed method in comparison with the classic method.
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spelling doaj.art-7ce133b00efe4fb798e093b30a9030c72022-12-22T00:38:01ZfasUniversity of TehranJournal of Information Technology Management2008-58932423-50592016-03-018112610.22059/jitm.2016.5576155761Application of Heuristic Rules and Genetic Algorithm in ARMA Model Estimation for Time Series PredictionMohammadreza Asghari Oskoei0Mohammad Ghasemmzade1Assistant Prof./ Allameh Tabataba'i Universitystudent/Allameh Tabataba'i UniversityThe first step of forecasting time series is to build an appropriate model. Determining orders and estimation of ARMA model parameters is a challenging field in traditional statistical and intelligent methods. In this paper, genetic algorithm is used for parameter estimation and heuristic rules are used to determine orders of ARMA model. Heuristic rules are extracted according to time series properties. The data are selected using sliding time window. Model identification is carried out by using Bayesian information criterion (BIC). The mean squares error and the mean absolute percentage error are used to evaluate the results of prediction. The proposed method was applied to eight time series in different types, and the results were compared with results of statistical methods. The achieved result shows equivalent or superior performance for the proposed method in comparison with the classic method.https://jitm.ut.ac.ir/article_55761_c834d3d6cfe322297c5434d754f6b6af.pdfARMA model estimationgenetic algorithmheuristic rulestime series prediction
spellingShingle Mohammadreza Asghari Oskoei
Mohammad Ghasemmzade
Application of Heuristic Rules and Genetic Algorithm in ARMA Model Estimation for Time Series Prediction
Journal of Information Technology Management
ARMA model estimation
genetic algorithm
heuristic rules
time series prediction
title Application of Heuristic Rules and Genetic Algorithm in ARMA Model Estimation for Time Series Prediction
title_full Application of Heuristic Rules and Genetic Algorithm in ARMA Model Estimation for Time Series Prediction
title_fullStr Application of Heuristic Rules and Genetic Algorithm in ARMA Model Estimation for Time Series Prediction
title_full_unstemmed Application of Heuristic Rules and Genetic Algorithm in ARMA Model Estimation for Time Series Prediction
title_short Application of Heuristic Rules and Genetic Algorithm in ARMA Model Estimation for Time Series Prediction
title_sort application of heuristic rules and genetic algorithm in arma model estimation for time series prediction
topic ARMA model estimation
genetic algorithm
heuristic rules
time series prediction
url https://jitm.ut.ac.ir/article_55761_c834d3d6cfe322297c5434d754f6b6af.pdf
work_keys_str_mv AT mohammadrezaasgharioskoei applicationofheuristicrulesandgeneticalgorithminarmamodelestimationfortimeseriesprediction
AT mohammadghasemmzade applicationofheuristicrulesandgeneticalgorithminarmamodelestimationfortimeseriesprediction