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Journal : MATEMATIKA

PERBANDINGAN ESTIMATOR REGRESI NONPARAMETRIK MENGGUNAKAN METODE FOURIER DAN METODE WAVELET Suparti, Suparti
MATEMATIKA Vol 8, No 3 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Let  be independent observation data and follows a model  Yi = f(Xi) + eI ,  i =1,2,...,n  with f is an unknown regression function and ei are independent random variables with mean 0 and variance s2. The function f could be estimated by parametric and nonparametric appro-aches. In nonparametric approach, the function f is assumed to be a smooth function or quadratic integrable function. If f belongs to the Hilbert space L2(R) then the function f could be estimated by estimator of orthogonal series, especially by Fourier series estimator. Another estimator of orthogonal series  which could be use  to estimate f is wavelet estimator. Wavelet estimator is an extention of Fourier series estimator  but it is more effective than the Fourier series estimator because the its IMSE converges to zero quicker than the Fourier series estimator.
Co-Authors A. Sulaksono, A. Abdul Hoyyi Afa, Ihdayani Banun Agus Cahyono Agus Rusgiyono Agustina, Dwi Ampuni Ahmad Reza Aditya Akhmad Zaki Alan Prahutama Alvita Rachma Devi Amanda Devi Paramitha, Amanda Devi Aminah Asngad Any Setyaningsih, Any Arief Rachman Hakim Asismarta Asismarta, Asismarta Bayu Ariawan Budi Warsito Bunga Maharani, Bunga C Yuwono Sumasto, C Yuwono Deden Aditya Nanda, Deden Aditya Di Asih I Maruddani Diah Budiati Diah Safitri Dini Puspita Dwi Ispriyanti Ebeit Devita Simatupang Elyas Darmawan Ernawati, Devi Ernik Yuliana Esti Pratiwi Fajar Heru Setiawan, Fajar Heru Fina Fitriyana Firda Megawati, Firda Fitri Juniaty Simatupang, Fitri Juniaty Fitriyatno Fitriyatno Gita Suci Ramadhani Hafii Risalam, Hafii Hanifa Eka Oktafiani, Hanifa Eka Happy Suci Puspitasari Hasbi Yasin Icha Puspitasari Indah Puspaningrum Indra Satria, Indra Iwan Ali Sofwan Izzudin Khalid, Izzudin Karimawati, Nurul Kartika, Aninda Ayu Kartikaningtiyas Hanunggraheni Saputri, Kartikaningtiyas Hanunggraheni Khoirunnisa Nur Fadhilah, Khoirunnisa Nur Lailly Rahmatika, Lailly Lestariningsih, Eni Dwi Lina Agustina, Lina Lintang Afdianti Nurkhasanah, Lintang Afdianti Lismiyati Marfuah, Lismiyati Lulus Darwati, Lulus Maman Suryaman Moch. Abdul Mukid Muhammad Taufan Musandingmi Elok Nurul Islam, Musandingmi Elok Nurul Mustafid Mustafid Natanael, Dimas Kevin Ndaru Dian Darmawanti Nonik Brilliana Primastuti Novia Agustina, Novia Onny Kartika Hitasari, Onny Kartika Paula Meilina Dwi Hapsari Putri Agustina Rahmawati, Resti Rahmawati, Rizky Dwi Rambat Rambat, Rambat Ratih Binadari, Ratih Ria Sutitis, Ria Riana Ayu Andam Pradewi Richy Priyambodo Rita Rahmawati Riyan Eko Putri Rukun Santoso Sadjati, Ida Malati Sanitoria Nadeak, Sanitoria Seta Satria Utama Siti Anisah Sofyan Anif Sri Budiasih, Sri Sri Sumiyati Sri Wahyuningrum Sudarno Sudarno Sugito Sugito Sulton Syafii Katijaya Sunardi Sunardi Swasnita Swasnita, Swasnita T. Mart, T. Tarno Tarno Testiana Deni Wijayatiningsih Tiani Wahyu Utami Triastuti Rahayu Triastuti Wuryandari Triyanto Triyanto Tyas Estiningrum Umi Sulistyorini Adi, Umi Sulistyorini Victoria Dwi Murti Wasis Wicaksono Widari Widari, Widari Wulan Safitri, Wulan Yon Haryono Yuciana Wilandari Yudi Ari Wibowo Yusuf Arifka Rahman, Yusuf Arifka Zubaidah, Lailia