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Nur Fadillah, Nur
Pusat Penelitian Geopolimer - Lab. Fisika Material Jurusan Fisika FMIPA UNM Jalan Dg. Tata Raya, Makassar, 90223
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Journal : Tadulako Social Science and Humaniora Journal

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Comparison of Gaussian and Epancehnikov Kernels Fadillah, Nur; Audina Dariah, Priliany; Anggraeni, Anisa; Cahyani, Nur; Handayani, Lilies
Tadulako Social Science and Humaniora Journal Vol. 3 No. 1 (2022): Tadulako Social Science and Humaniora Journal
Publisher : LPPM Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/sochum.v3i1.15745

Abstract

Kernel regression is a nonparametric analysis with smoothing method. Smoothing has become synonymous with nonparametric methods used to estimate functions. The purpose of smoothing is to remove variability from data that has no effect so that the characteristics of the data will appear clear. Kernel regression has a flexible form and the mathematical calculations are easy to adjust. In kernel regression, an estimator is known which is usually used to estimate the regression function, namely the Nadaraya-Watson estimator. This study aims to show how to estimate data using nonparametric regression Gaussian and Eponocvh kernels with the Nadaraya-Watson estimator and the bandwidth selection methods are "Rule of Thumb" bandwidth, Unbiased Cross Validation, Biased Cross Validation and Complete Cross Validation. The results of this study indicate that the MSE value generated by the Epanechnikov kernel function and the Gaussian kernel uses the optimal bandwidth. Statistically, the MSE value generated by the Epanechnikov kernel is almost close to the value in the Gaussian kernel, so it can be said that the MSE value produced by the two kernel functions is almost the same. Based on the plot of estimation results for the Eponocvh kernel function and the Gaussian kernel using the optimal bandwidth, it is very close, so it can be said that the use of a different kernel function with the optimal bandwidth for each of the kernel functions will produce the same estimated regression curve. The results of this study support the opinion expressed by Hastie and Tibshirani, which states that in kernel regression the selection of the smoothing parameter (bandwidth) is much more important than choosing the kernel function.
Co-Authors - Nurhayati ., Nuraksa Abdul Wahid, Mulyadi Alam, Aztri Fithrayani Amalia, Amanda Putri Amar Salahuddin Ananta, Ramadhanti Angelica, Niken Anisa Anggraeni, Anisa Anry, Aura Afrillia Ansyari, Ilman Indra Aprilia, Putri Rudini Aprimadedi Arisma, Ayu Ariyanti, Alifah Danuk Armayani M. Arwin Sanjaya Ashilah, Jihan Audina Dariah, Priliany Az-Zahra, Shakira Baharullah Budi Utama, Muh. Ilham Cahyani, Rani Chairunnisa, Milna Cut Zahri, Cut Deny Arthawan Sugih Prabowo, I Putu Dharma Saputra, Dharma Dini Martinda Lestari Elma Suryani F, Andi Syahreza F, Widya Ananda Fajerin, Nur Fariq Azhar Feryanto, Wahyu Firah, Al Firdha Razak, Firdha Fitri, Dwi Halijah, Sitti Hasbi, Hartas Hasni Heni Pujiastuti Hiroyuki Hashiguchi, Hiroyuki Husniah, Wa Ode I , Dyah Sulistyaningrum Irawati, Limora IRWAN SETIAWAN Jamaluddin, Reski Permata Sari Janwar, Muhammad Jemminastiar, Rafly Jumadil Nangi, Jumadil Jumiati Jumiati Junita, Yola Khamil, Muhammad Raihan Putra Koriah, Wa Ode Nikmatul kosilah, Kosilah Kristiawati Kristiawati Lailul Mursyidah Latifah, Husnul Lilies Handayani Lisdiana, Hayyun Lolo Padang, Elifas M, Weney Kanatya M. Ahdad, Muhakkamah Malau, Navaldi Indra Mansur Mansur Mansur, Musdalifa Maria Ulfa Marzuki Marzuki Mashaf, Salsabila Mawarsih, Sri Mira Detavia, Andi Mohammad Reza Fahlevi MUHAMMAD ALI Muhammad Aprian Jailani Muhammad Basri Muhammad Fazil, Muhammad Munira Munira, Munira Mustafa, Kemala Muzakkir Baits, Muzakkir Nababan, Ridha Nafillah, Nafillah Naiborhu, Roslin Nainggolan, Laura Natashia Br Naisyarah, Wifna Nazar, Nasril Nini Wahyuni, Nini Nur Cahyani Nurhalizah, Siti Nurjannah Nurjannah Nurul Rahmania Padli, Feri Prasandy, Martha Oktavia Pratiwi, Lintang Denalin Aulia Putri Hana Pebriana Putri Indah Lestari Raden Irna Afriani Rahayu, Erdina Rahayu, Rika Rahmad Hidayat Rahmadani Rahmadani Rahmaniar Rahmaniar, Rahmaniar Rahmawati, Febri Raiya, Muhammad Saharullah Ramadhan, Rafly Naufal Ramadhani, Fajri Ramadhani, Ulfa Ramdani, Rezki Rasmi Rasmi, Rasmi Rizal Adi Saputra Rosmaida Sinaga Rusdi Rusdi said, muh Sakmawati, Sakmawati Samal, Silvia Nur Aini Samsidar Tanjung Saptono Waspodo Sari, Della Yuspita Setiyo Utomo Shimomai, Toyoshi Simbolon, Nursyamsiah sri nengsih, sri St Maryam, St Subaer - Subarno , Anton Suci Wulandari Suhardianto, Suhardianto Surodipo, Bagus Syaputra, Muh. Fadly Torro, Supriadi Trisnawati Hutagalung Ukas, Ukas Vaneza Sihaloho, Julice Wendi Harjupa Wijaya, Rasman Sastra Yunina Yunina