Estimator Deret Fourier Dalam Regresi Nonparametrik dengan Pembobot Untuk Perencanaan Penjualan Camilan Khas Madura

Authors

  • Anisatus Sholiha Universitas Islam Madura
  • Kuzairi Kuzairi Universitas Islam Madura
  • M. Fariz Fadillah Madianto Universitas Airlangga

DOI:

https://doi.org/10.31102/zeta.2018.4.1.18-23

Keywords:

Nonparametric Regression, Fourier Series, WLS, GCV, Sale of Madura Typical Snacks

Abstract

The purpose of regression analysis is determining the relationship between response variables to predictor variables. To estimate the regression curve there are three approaches, parametric regression, nonparametric regression, and semiparametric regression. In this study, the estimator form of nonparametric regression curve is analyzed by using the Fourier series approach with sine and cosine bases, sine bases, and cosine bases. Based on Weighted Least Square (WLS) optimization, the estimator result can be applied to model the sale planning of Madura typical snacks. Nonparametric regression estimators with the Fourier series approach are weighted with uniform and variance weight. The best model that be obtained in this study for uniform weight, based on cosine and sine basis with GCV value ​​of 1541.015, MSE value of 0.1375912 and determination coefficient value of 0.4728418%. The best model for variance weight is based on cosine and sine basis with a GCV value of 1541.011, MSE value of 0.1375912 and determination coefficient of 0.4728227%.

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References

Bilodeau, M., 1992. Models Smoother and Additive Models. The Canadian Journal of Statistics, pp. 257-269.
Malik, S., 2014. Estimasi Kurva Regresi Nonparametrik Multivariabel Untuk Data Longitudinal Dengan Pendekatan Spline Aplikasi Pada Rata-Rata Jumlah Anak Lahir Hidup di Provinsi Jawa Timur. Surabaya: Fakultas Matematika dan Ilmu Pengetahuan Alam Institut Teknologi Sepuluh Nopember.
Mardianto, M. F. F., 2017. 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.
Prahutama, A., 2013. Model Regresi Nonparametrik Dengan Pendekatan Deret Fourier Pada Kasus Tingkat Pengangguran Terbuka di Jawa Timur. Prosiding Seminar Nasional Statistika, p. 69.
Riskiyah, S., 2017. Penerapan Regresi Nonparametrik Spline truncated Untuk Mengetahui Faktor-Faktor Yang Mempengaruhi Hasil Tangkapan Ikanlayan di Kaupaten Pamekasan. Pamekasan: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Islam Madura .
Tjahjono, E., 2009. Estimator Deret Fourier Terbobot Pada Regresi Nonparametrik. Surabaya: Jurusan Matematika dan Ilmu Pengetahuan Alam Institut Teknologi Sepuluh Nopember.
Wahba, G., 1990. Spline Models for Observational Data. Philadelphia, Pennsylvania: University of Wisconsin at Madison.

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Published

2018-05-16

How to Cite

Sholiha, A., Kuzairi, K., & Madianto, M. F. F. (2018). Estimator Deret Fourier Dalam Regresi Nonparametrik dengan Pembobot Untuk Perencanaan Penjualan Camilan Khas Madura. Zeta - Math Journal, 4(1), 18–23. https://doi.org/10.31102/zeta.2018.4.1.18-23

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