NONPARAMETRIK REGRESSION MODEL ESTIMATION WITH THE FOURIER SERIES THE FOURIER SERIES APPROACH AND ITS APPLICATION TO THE ACCUMULATIVE COVID-19 DATA IN INDONESIA

  • Muhammad Danil Pasarella Statistical Study Program, Faculty of Mathematics and Natural Sciences, Mulawarman University
  • Sifriyani Sifriyani Statistical Study Program, Faculty of Mathematics and Natural Sciences, Mulawarman University
  • Fidia Deny Tisna Amijaya Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Mulawarman University
DOI: https://doi.org/10.30598/barekengvol16iss4pp1167-1174
Keywords: Covid-19, Fourier Series, Oscillation, Nonparametric Regression

Abstract

The nonparametric regression model is applied to regression curves for which the regression curve is unknown. Fourier series estimation is an approach in nonparametric regression, which has high flexibility and is able to adjust to the local nature of data effectively. The purpose of the research is to obtain an estimate of the nonparametric regression model with the Fourier series approach with optimal oscillation values and the model suitability of the positive case of Covid-19 in Indonesia. Research on modeling positive cases of Covid-19 in Indonesia using nonparametric regression with the best Fourier series approach is found in the third oscillation by having a minimum GCV of 78969281 with the best model criteria R2 = 97.86% with influencing factors are the percentage of active smokers, the number of health workers, the number of health service facilities, population density and the percentage of the poor population.

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References

F. R. Yamali and R. N. Putri, “Dampak Covid-19 Terhadap Ekonomi Indonesia,” Ekonomis: Journal of Economics and Buisiness, pp. Vol. 4 No. 2 Pages 384-388, 2020.

F. D. Arianto and N. , “Prediksi Kasus COVID-19 Di Indonesia Menggunakan Metode Backpropagation dan Fuzzy Tsukamoto,” Jurnal Teknologi Invormasi, pp. Vol.4, No.1, 2020.

M. F. Qudratullah, Analisis Regresi Terapan: Teori, Contoh Kasus, dan Aplikasi Dengan SPSS, Yogyakarta: Penerbit ANDI, 2013.

A. T. R. Dani and N. Y. Adrianingsih, “Pemodelan Regresi Nonparametrik dengan Estimator Spline Truncated dan Deret Fourier,” Jambura Journal of Mathematics, Vols. Vol. 3, No.1, pp. 26-36, 2021.

I. W. Sudiarsa, Estimator Gabungan Deret Fourier dan Spline Truncated Dalam Regresi Nonparametrik Multivariabel, Surabaya: Institut Teknologi Sepuluh November, 2018.

L. R. Khairunnisa, A. Prahutama and R. Santoso, “Pemodelan Regresi Semiparametrik Dengan Pendekatan Deret Fourier (Studi Kasus: Pengaruh Indeks Dow Jones dan BI Rate Terhadap Indeks Harga Saham Gabungan),” Jurnal Gaussian, pp. Volume 9, Nomor 1, hal 50-63, 2020.

S. Riskiyah, Penerapan Regresi Nonparametrik Spline Truncated Untuk Mengetahui Faktor-Faktor Yang Mempengaruhi HAsil Tangkapan Ikan Layang Di Kabupaten Pamekasan, Pamekasan: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Islam Madura, 2018.

A. Sholiha, K. dan M. F. F. Mardianto, “Estimator Deret Fourier Dalam Regresi Nonparametrik Dengan Pembobot Untuk Perencanaan Penjualan Camilan Khas Madura,” Zeta-Math Journal, p. Volume 4 No.1, 2018.

N. P. A. M. Mariati, Pemodelan Regresi Deret Fourier dan Spline Truncated Dalam Regresi Multivariabel (Aplikasi: Data Kemiskinan di Provinsi Papua), Surabaya: Institut Teknologi Sepuluh November, 2015.

Sifriyani, Haryatmi, I. N. Budiantara and Gunardi, “Geographically Weighted Regression With Spline Approach,” Far East Journal of Mathematical Sciences, vol. 101(6), pp. 1183-1196, 2017.

Sifriyani, S. H. Kartiko, I. N. Budiantara and Gunardi, “Development Of Nonparametric Geographically Weighted Regression Using Truncated Spline Approach,” Songklanakarin Journal of Science and Technology, vol. 40(4), pp. 909-920, 2018.

M. Mardianto, Kumpulan Karya Ilmiyah Dalam Bentuk Artikel Sebagai Bahan Penilaian Mata Kuliah Regresi Nonparametrik dan Literature Review., Yogyakarta: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Gajah Mada, 2017.

S. Sifriyani, I. N. Budiantara, S. H. Kartiko and Gunardi, “A New Method of Hypotesis Test for Truncated Spline Nonparametric Regression Influenced by Spatial Heterogeity and Aplication,” Abstract and Applied Analysis, vol. 2018, p. https://doi.org/10.1155/2018/9769150, 2018.

S. Sifriyani, M. Rasjid, D. Rosadi, S. Anwar, R. D. Wahyuni and S. Jalaluddin, “Spatial-Temporal Epidemiology of Covid-19 Using a Geographically and Temporally Weighted Regression Model,” Symmetry, vol. 14(742), p. https://doi.org/10.3390/sym14040742, 2022.

I. R. N. Wisiono, A. I. Nurwahidah, Y. Andriyana and N. Sunengsih, “Regresi Nonparametrik Dengan Pendekatan Deret Fourier Pada Data Debit Air Sungai Citarum,” Jurnal Matematika "Mantik", p. Vol.04 No. 02, 2018.

Published
2022-12-15
How to Cite
[1]
M. Pasarella, S. Sifriyani, and F. Amijaya, “NONPARAMETRIK REGRESSION MODEL ESTIMATION WITH THE FOURIER SERIES THE FOURIER SERIES APPROACH AND ITS APPLICATION TO THE ACCUMULATIVE COVID-19 DATA IN INDONESIA”, BAREKENG: J. Math. & App., vol. 16, no. 4, pp. 1167-1174, Dec. 2022.
Issue
Vol 16 No 4 (2022): BAREKENG: Journal of Mathematics and Its Applications
Section
Articles

Copyright (c) 2022 Muhammad Danil Pasarella, Sifriyani Sifriyani, Fidia Deny Tisna Amijaya

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