Time series analysis and applications in data analysis, forecasting and prediction
DOI:
https://doi.org/10.56764/hpu2.jos.2024.3.1.20-29- Keywords:
- Time series
- data analysis
- forecasting
- prediction
- arima
Abstract
Time series analysis is an essential field in data analysis, particularly within forecasting and prediction domains. Researching and building time series models play a crucial role in understanding and predicting the temporal dynamics of various phenomena. In mathematics, time series data is defined as data points indexed in chronological order and have a consistent time interval between consecutive observations. This can include data such as daily stock prices, annual national income, quarterly company revenue, and more. The advantage of time series data is that it can capture the state of a variable over time. In contrast, the world is constantly changing, and phenomena rarely remain static they typically exhibit variations over time. Therefore, time series data has highly practical applications and is used in various fields, including statistics, econometrics, financial mathematics, weather forecasting, earthquake prediction, electroencephalography, control engineering, astronomy, telecommunications, and signal processing. ARIMA, which stands for Auto Regressive Integrated Moving Average, is a widely used time series forecasting method in data science. It is a popular model for analyzing and predicting time-dependent data points. ARIMA combines autoregression, differencing, and moving averages to capture different aspects of time series data. In this paper, we study ARIMA, which is a significant model for analyzing and predicting time series data.
References
[1] D. Salinas, V. Flunkert, J. Gasthaus, and T. Januschowski, “DeepAR: Probabilistic forecasting with autoregressive recurrent networks,” Int. J. Forecast., vol. 36, no. 3, pp. 1181–1191, Jul. 2020, doi: 10.1016/j.ijforecast.2019.07.001.
[2] A. Carriero, T. Clark, and M. Marcellino, “Large vector autoregressions with stochastic volatility and flexible priors,” Working paper (Federal Reserve Bank of Cleveland), Jun. 2016, doi: 10.26509/frbc-wp-201617.
[3] H. Hewamalage, C. Bergmeir, K. Bandara, “Recurrent neural networks for time series forecasting: current status and future directions,” Int. J. Forecast., vol. 37, no. 1, pp. 388–427, Jan. 2021, doi:10.1016/j.ijforecast.2020.06.008.
[4] L. Qu, W. Li, W. Li, D. Ma, and Y. Wang, “Daily long-term traffic flow forecasting based on a deep neural network,” Expert Syst. Appl., vol. 121, pp. 304–312, May 2019, doi: 10.1016/j.eswa.2018.12.031.
[5] C. Deb, F. Zhang, J. Yang, S. E. Lee, and K. W. Shah, “A review on time series forecasting techniques for building energy consumption,” Renew. Sustain. Energy Rev., vol. 74, pp. 902–924, Jul. 2017, doi:10.1016/j.rser.2017.02.085.
[6] X. Yang, F. Yu, and W. Pedrycz, “Long-term forecasting of time series based on linear fuzzy information granules and fuzzy inference system,” Int. J. Approx. Reason, vol. 81, pp. 1–27, Feb. 2017, doi: 10.1016/j.ijar.2016.10.010.
[7] Z. Chen, M. Ma, T. Li, H. Wang, C. Li, “Long sequence time-series forecasting with deep learning: A survey,” Inf. Fusion, vol. 97, p.101819, Sep. 2023, doi: 10.1016/j.inffus.2023.101819.
[8] H. Zhou, J. Li , S. Zhang, S. Zhang, M. Yan, and H. Xiong, “Expanding the prediction capacity in long sequence time-series forecasting,” Artif. Intell., vol. 318, p. 103866, May 2023, doi: 10.1016/j.artint.2023.103886.
[9] K. Bandara, C. Bergmeir, and S. Smyl, “Forecasting across time series databases using recurrent neural networks on groups of similar series: A clustering approach,” Expert Syst. Appl., vol. 140, p. 112896, Feb. 2020, doi:10.1016/j.eswa.2019.112896.
[10] G. Athanasopoulos, R. J. Hyndman, H. Song, and D. C. Wu, “The tourism forecasting competition,” Int. J. Forecast., vol. 27, no. 3, pp. 822–844, Jul. 2011, doi: 10.1016/j.ijforecast.2010.04.009.
[11] M. Assaad, and H. Cardot, “A new boosting algorithm for improved time-series forecasting with recurrent neural networks,” Inf. Fusion, vol. 9, no.1, pp. 41–55, Jan. 2008, doi: 10.1016/j.inffus.2006.10.009.
[12] S. Ben Taieb, G. Bontempi, A. F. Atiya, and A. Sorjamaa, “A review and comparison of strategies for multi-step ahead time series forecasting based on the NN5 forecasting competition,” Expert Syst. Appl., vol. 39, no. 8, pp. 7067–7083, Jun. 2012, doi:10.1016/j.eswa.2012.01.039.
[13] C. Bergmeir, R. J. Hyndman, and B. Koo, “A note on the validity of cross-validation for evaluating autoregressive time series prediction,” Comput. Stat. Data Anal., vol. 120, pp. 70–83, Apr. 2018, doi: 10.1016/j.csda.2017.11.003.
[14] M. Mudelsee, “Trend analysis of climate time series: A review of methods,” Earth-Science Rev., vol. 190, no. 8, pp. 310–322, Mar. 2019, doi: 10.1016/j.earscirev.2018.12.005.
[15] D.S. Stoffer, and H. Ombao, “Editorial: special issue on time series analysis in the biological sciences,” J. Time Ser. Anal., vol. 33, no. 5, pp. 701–703, Sep. 2012, doi: 10.1111/j.1467-9892.2012.00805.x.
[16] E. J. Topol, “High-performance medicine: the convergence of human and artificial intelligence,” Nat. Med., vol. 25, no. 1, pp. 44–56, Jan. 2019, doi: 10.1038/s41591-018-0300-7.
[17] J.H. Böse et al., “Probabilistic demand forecasting at scale,” Proc. VLDB Endow., vol. 10, no. 12, pp. 1694–1705, Aug. 2017, doi: 10.14778/3137765.3137775.
[18] T. G. Andersen, T. Bollerslev, and N. Meddahi, “Correcting the errors: Volatility forecast evaluation using high-frequency data and realized volatilities,” Econometrica, vol. 73, no. 1, pp. 279–296, Jan. 2005, doi: 10.1111/j.1468-0262.2005.00572.x.
[19] M. Knott, M. Hollander, and D. A. Wolfe, “Nonparametric statistical methods,” J. R. Stat. Soc. Ser. A, vol. 137, no. 2, p. 264, Aug. 1974, doi: 10.2307/2344557.
[20] R. J. Hyndman, and A. B. Koehler, “Another look at measures of forecast accuracy,” Int. J. Forecast., vol. 22, no. 4, pp. 679–688, Oct. 2006, doi: 10.1016/j.ijforecast.2006.03.001.
Downloads
Published
How to Cite
Volume and Issue
Section
Copyright and License
Copyright (c) 2024 Le-Hang Le
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.