Abstract
In this paper a comparative study is presented about time series prediction methods using three algorithms: autoregressive (AR), autoregressive integrated moving average (ARIMA) and neural network of type multilayer perceptron trained by backpropagation algorithm. The theoretical basis of time series prediction by building and using of common mathematical models is presented. As the different time series characteristics need different prediction approaches investigation is performed about the details about the predicted values. Experimental results of real time series prediction are summarized and analyzed for prediction of electrical consumption observations. Prototype software modules for the prediction are developed by the author using the programming language Java as software libraries and they can also be integrated and practically used in other software systems.
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References
Armstrong, J.S.: Combining forecasts. Principles of Forecasting: A Handbook for Researchers and Practioners, pp. 417–439. Kluwer Academic Publishers, Norwell, MA (2001)
Brockwell, P.J., Davis, R.A.: Introduction to Time Series and Forecasting, Second edition. Springer (2002)
Chatfield, C. The Analysis of Time Series. An Introduction. Fifth edition. Chapman & Hall/CRC (1996)
Fausett, L.: Fundamentals of Neural Networks: Architectures, Algorithms, and Applications. Prentice-Hall (1994)
Galushkin, A.I.: Neural Networks Theory. ISBN 978-3-540-48124-9. Springer (2007)
Hamilton, J.: Time Series Analysis. Princeton University Press, ISBN: 0-691-04289-6 (1994)
Palit, A.K., Popovic, D.: Computational intelligence in time series forecasting. Theory and Engineering Applications. Springer (2005)
Acknowledgment
This work was supported by the European Regional Development Fund within the Operational Programme “Science and Education for Smart Growth 2014 – 2020” under the Project CoE “National center of mechatronics and clean technologies” BG05M2OP001–1.001–0008-C01.
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Nikolov, V. (2023). A Comparative Analysis of Univariate Time Series Prediction by Mathematical Models. In: Arai, K. (eds) Advances in Information and Communication. FICC 2023. Lecture Notes in Networks and Systems, vol 651. Springer, Cham. https://doi.org/10.1007/978-3-031-28076-4_22
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DOI: https://doi.org/10.1007/978-3-031-28076-4_22
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