Affiliation:
1. Department of Applied Mathematics, Noakhali Science and Technology University, Bangladesh
2. School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia
Abstract
Forecasting is a challenging task as time series data exhibit many features that cannot be captured by a single model. Therefore, many researchers have proposed various hybrid models in order to accommodate these features to improve forecasting results. This work proposed a hybrid method between Empirical Mode Decomposition (EMD) and Theta methods by considering better forecasting potentiality. Both EMD and Theta are efficient methods in their own ground of tasks for decomposition and forecasting, respectively. Combining them to obtain a better synergic outcome deserves consideration. EMD decomposed the training data from each of the five Financial Times Stock Exchange 100 Index (FTSE 100 Index) companies’ stock price time series data into Intrinsic Mode Functions (IMF) and residue. Then, the Theta method forecasted each decomposed subseries. Considering different forecast horizons, the effectiveness of this hybridisation was evaluated through values of conventional error measures found for test data and forecast data, which were obtained by adding forecast results for all component counterparts extracted from the EMD process. This study found that the proposed method produced better forecast accuracy than the other three classic methods and the hybrid EMD-ARIMA models.
Publisher
UUM Press, Universiti Utara Malaysia
Subject
General Mathematics,General Computer Science
Reference45 articles.
1. Abadan, S., & Shabri, A. (2014). Hybrid empirical mode decomposition- ARIMA for forecasting price of rice. Applied Mathematical Sciences, 8(61–64), 3133–3143. https://doi.org/10.12988/ams.2014.43189
2. Assimakopoulos, V., & Nikolopoulos, K. (2000). The theta model: A decomposition approach to forecasting. International Journal of Forecasting, 16(4), 521–530. https://doi.org/10.1016/S0169-
3. 2070(00)00066-2
4. Awajan, A. M., Ismail, M. T., & Wadi, S. A. (2017). A hybrid EMD-MA for forecasting stock market index. Italian Journal of Pure and Applied Mathematics, (N. 38-2017), 313–332. Retrieved from http://ijpam. uniud.it/online_issue/201738/29-AhmadAwajan-MohdTahirIsmail- AlWadi.pdf
5. Box, G.E.P., & Jenkins, G. M. (1970). Time series analysis: Forecasting and control. SF, USA: Holden-Day, USA. Retrieved from https:// archive.org/details/timeseriesanalys0000boxg
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Theta models for daily pandemic data;Boletim da Sociedade Paranaense de Matemática;2024-04-26
2. Stock Price Prediction Using Empirical Mode Decomposition Based Theta Method and Forecast Combination;2021 International Conference on Decision Aid Sciences and Application (DASA);2021-12-07