Regresi Nonparametrik Kernel Gaussian pada Pemodelan Angka Kelahiran Kasar di Provinsi Nusa Tenggara Barat
DOI:
https://doi.org/10.29303/emj.v3i2.78Keywords:
bandwidth, Generalized Cross-Validation, MAPE, Nadaraya-Watson estimator, simulated annealing algorithmAbstract
This study aims to model Crude Birth Rates (CBR) in West Nusa Tenggara Province. The nonparametric regression method was used in this research by considering data distribution patterns that do not show a linear relationship between variables. In this case, the kernel nonparametric regression using the Gaussian function and the Nadaraya-Watson estimator. The results showed optimal bandwidths of 0.55542837, 1.29042927, 0.94706041, and 0.92278896 with a value of minimum Generalized Cross-Validation (GCV) of 0.000000000432613511, which was minimized by the simulated annealing algorithm. The resulting model's accuracy can be seen from the coefficient of determination (R2) of 99.23% and the Mean Absolute Percentage Error (MAPE) of 0.007049%.References
Badan Pusat Statistik (BPS). (2011). Fertilitas Penduduk Indonesia: Hasil Sensus Penduduk 2010.
Budiantara, I. N., Ratnasari, V., Ratna, M., and Zain, I. (2015). The Combination of Spline and Kernel Estimator for Nonparametric Regression and its Properties. Applied Mathematical Sciences, 9(122), pp. 6083–6094.
Chodijah, R. (2011). Perilaku Fertilitas di Berbagai Kabupaten di Sumatera Selatan. Jakarta: Brief Policy
Dinas Kesehatan. (2016). Profil Kesehatan Provinsi Nusa Tenggara Barat. Nusa Tenggara Barat: Dinas Kesehatan.
Draper, N. R., and Smith, H. (1998). Applied Regression Analysis (Third). Canada: John Wiley & Sons.
Fardlyana, E. (2009). Pernikahan Usia Dini dan Permasalahannya. Jurnal Sari Pediarti, 2(1), pp. 136–141.
Hardle, W. (1994). Applied Nonparametric Regression. Berlin: Humboldt-Universität zu Press.
Hardle, W., Muller, M., Sperlich, S., and Werwatz, A. (2004). Nonparametric and Semiparametric Models: An Introduction. Berlin: Humboldt-Universität zu Press.
Jones, G. W. dan Gubhaju, B. (2008). Trend at Age marriage in the Provinces of Indonesia. Asia Research Institute Working Paper, 105.
Noviardianto, G. E., Novel, M., dan Legowo, M. B. (2019). Penggunaan Metode Simulated Annealing untuk Optimasi Penempatan Posisi Access Point pada Jaringan WI-FI. Jurnal AL-AZHAR INDONESIA SERI SAINS DAN TEKNOLOGI, 5(1), pp. 10–18.
Published
How to Cite
Issue
Section
License
All articles published in the Eigen Mathematics Journal will be available for free reading and downloading. The license applied to this journal is Creative Commons Attribution-Non-Commercial-Share Alike (CC BY-NC-SA).
Most read articles by the same author(s)
- Husnul Arini, Desy Komalasari, Nurul Fitriyani, Small Area Estimation dengan Metode Hierarchical Bayes pada Proporsi Destinasi Objek Wisata Halal Kabupaten Lombok Barat , EIGEN MATHEMATICS JOURNAL: Vol. 1 No. 2 Desember 2018
- Lisa Harsyiah, Nurul Fitriyani, Salwa Salwa, Peramalan Jumlah Siswa Baru Madrasah Aliyah (MA) Manhalul Ma’arif Darek-Lombok Tengah , EIGEN MATHEMATICS JOURNAL: VOL. 3 NO. 2 DESEMBER 2020
- Muslimatun Toyyibah, Desy Komalasari, Nurul Fitriyani, Small Area Estimation Jumlah Penderita Penyakit TBC di Kabupaten Lombok Timur Menggunakan Metode Empirical Bayes , EIGEN MATHEMATICS JOURNAL: Vol. 1 No. 1: Juni 2018
- Ena Setiawana, Nurul Fitriyani, Lisa Harsyiah, Modeling the Open Unemployment Rate in Indonesia Using Panel Data Regression Analysis , EIGEN MATHEMATICS JOURNAL: Vol. 7 No. 1 (2024): June
- Siti Dwi Khairun Rahmatin Usman, Mustika Hadijati, Nurul Fitriyani, Modelling the Recovery of Malaria Patients in West Lombok District Using Cox Regression , EIGEN MATHEMATICS JOURNAL: Vol. 6 No. 2 (2023): December
- Muhammad Rizaldi, Nurul Fitriyani, Zulhan Widya Baskara, Modeling of Economic Growth Rate in West Nusa Tenggara Province with Longitudinal Kernel Nonparametric Regression , EIGEN MATHEMATICS JOURNAL: Vol. 7 No. 1 (2024): June