Perbandingan Model ARIMA-RBF dan ARIMA-GARCH dalam Peramalan Time Series Inflasi Provinsi Gorontalo

Authors

  • Awalia Emiro Program Studi Statistika, Universitas Negeri Gorontalo, Bone Bolango, Indonesia
  • Isran K Hasan Departement of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo
  • Novianita Achmad Program Studi Matematika, Universitas Negeri Gorontalo, Bone Bolango, Indonesia

DOI:

https://doi.org/10.55657/rmns.v2i1.76

Keywords:

Time Series, ARIMA, RBF, GARCH, INFLATION

Abstract

A quantitative  method that is observed sequentially from time to time is a time series. In the real word, problems often occur where one method is not able to solve the problem. This research used linear and nonlinear methods by combining the ARIMA-RBF anda ARIMA-GARCH models in forecasting, and then the two models were compared based on the MAPE value. This research used monthly data on inflation for housing, water, electricity, and other fuels from 2008 to 2020. The forecast results from the ARIMA-RBF model obtained the MAPE value of 7.5%, and the ARIMA-GARCH model obtained the MAPE value of 11.8%. thus, the best model for predicting inflation in this research was the ARIMA RBF model.

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References

H. S. Noor and C. Komala, “Analisis Indeks Harga Konsumen (IHK) Menurut Kelompok Pengeluaran Nasional Tahun 2018,” J. Perspekt., vol. 3, no. 2, p. 110, Dec. 2019, doi: 10.15575/jp.v3i2.48.

S. Rahayu, S. Sukestiyarno, and P. Hendikawati, “Peramalan Inflasi di Demak Menggunakan Metode ARIMA Berbantuan Software R dan MINITAB,” in PRISMA, Prosiding Seminar Nasional Matematika, 2018, pp. 745–754, [Online]. Available: https://journal.unnes.ac.id/sju/index.php/prisma/article/view/20356.

I. Arifani, W. Rahmayanti, T. Putri, V. O. Kurniasari, and A. M. Anky, “Pemodelan dan Peramalan Jumlah Pengunjung Kbs Menggunakan Model Variasi Kalender Arimax,” Pekan Ilmiah Mahasiswa Nasional Program Kreativitas Mahasiswa - Penelitian 2014. Indonesia, 2014.

G. P. Zhang, “Time series forecasting using a hybrid ARIMA and neural network model,” Neurocomputing, vol. 50, pp. 159–175, Jan. 2003, doi: 10.1016/S0925-2312(01)00702-0.

H. Hong et al., “Radial basis function artificial neural network (RBF ANN) as well as the hybrid method of RBF ANN and grey relational analysis able to well predict trihalomethanes levels in tap water,” J. Hydrol., vol. 591, p. 125574, Dec. 2020, doi: 10.1016/j.jhydrol.2020.125574.

W. Kenton, “What Is the GARCH Process? How It’s Used in Different Forms,” 2020. https://www.investopedia.com/terms/g/generalalizedautogregressiveconditionalheteroskedasticity.asp#:~:text=GARCH processes are widely used,the accuracy of ongoing predictions. (accessed Nov. 13, 2022).

A. Hikmah, A. Agoestanto, and R. Arifudin, “Peramalan Deret Waktu Dengan Menggunakan Autoregressive (AR), Jaringan Syaraf Tiruan Radial Basis Function (RBF) Dan Hibrid Ar-RBF Pada Inflasi Indonesia,” Unnes J. Math., vol. 7, no. 2, 2018.

D. Wiyanti and R. Pulungan, “Peramalan Deret Waktu Menggunakan Model Fungsi Basis Radial (Rbf) Dan Auto Regressive Integrated Moving Average (Arima),” Indones. J. Math. Nat. Sci., vol. 35, no. 2, p. 114402, 2012, [Online]. Available: https://journal.unnes.ac.id/nju/index.php/JM/index.

R. S. Faustina, A. Agoestanto, and P. Hendikawati, “Model Hybrid ARIMA-GARCH untuk Estimasi Volatilitas Harga Emas,” UNNES J. Math., vol. 6, no. 1, pp. 11–24, 2017.

N. H. Hussin, F. Yusof, ‘Aaishah Radziah Jamaludin, and S. M. Norrulashikin, “Forecasting Wind Speed in Peninsular Malaysia: An Application of ARIMA and ARIMA-GARCH Models,” Pertanika J. Sci. Technol., vol. 29, no. 1, Jan. 2021, doi: 10.47836/pjst.29.1.02.

H. Xueqin, J. Ruimin, and W. Yaqi, “Research on Chengdu air cargo forecast based on improved ARIMA-GARCH,” Int. J. Model. Oper. Manag., vol. 8, no. 3, p. 299, 2021, doi: 10.1504/IJMOM.2021.116802.

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Published

28-11-2022

How to Cite

[1]
A. Emiro, I. K. Hasan, and N. . Achmad, “Perbandingan Model ARIMA-RBF dan ARIMA-GARCH dalam Peramalan Time Series Inflasi Provinsi Gorontalo”, Res. Math. Nat. Sci., vol. 2, no. 1, pp. 9–17, Nov. 2022.