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I Nyoman Budiantara
Departemen Statistika Institut Teknologi Sepuluh Nopember
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Journal : E-Jurnal Matematika

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CURVE ESTIMATION AND ESTIMATOR PROPERTIES OF THE NONPARAMETRIC REGRESSION TRUNCATED SPLINE WITH A MATRIX APPROACH NURUL FITRIYANI; I NYOMAN BUDIANTARA
E-Jurnal Matematika Vol 11 No 1 (2022)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2022.v11.i01.p362

Abstract

Regression analysis is one of the statistical analyses used to estimate the relationship between the predictor and the response variable. Data are given in pairs, and the relationship between the predictor and the response variable was assumed to follow a nonparametric regression model. This model is flexible in estimating the curve when a typical data pattern does not follow a specific pattern. The nonparametric regression curve was approached by using the truncated spline function with several knots. The truncated spline estimator in nonparametric regression is linear in the observation. It is highly dependent on the knot points. The regression model's random error is assumed to have an independent normal distribution with zero mean and equal variance. The truncated spline's curve estimate was obtained by minimizing the error model through the least squared optimization method. The nonparametric regression truncated spline's estimator properties are linear, unbiased, and if the error is normally distributed, the estimator is normally distributed.
Co-Authors Achmad Zubaydi Agnes Tuti Rumiati Anita Trias Anggraeni Ayu Febriana Dwi Rositawati Ayu Ukhti Mufidah Ayuk Putri Sugiantari Azizah Azizah Bagiyo Suwasono Bagiyo Suwasono Bagiyo Suwasono, Bagiyo Bambang Widjanarko Otok Benny Kusuma Budi Lestari Budi Lestari Camelia Nanda Sholicha Chairunnisa, Nurul Rizky Crespo, Mohamad Dani, Andrea Dani, Andrea Tri Rian Delila Ramadanti Bidari Dewi Wahyu Setyowati Dhira Audhia Pratiwi Eko Wahyu Wibowo Elfrida Kurnia Litawati Erma Oktania Permatasari Errina Dwi Igustin Fadhlul Rahim Febriyani, Eka Riche Firda Fahrun Nisa' Fitriana, Dewi Fortano, Nauvalla Farhan Putra Fredi Suryadi Fredi Suryadi Hadianti, Wafirah Putri Hesikumalasari Hesikumalasari I Dewa Ayu Made Istri Wulandari I Gusti Putu Surya Darma Inggar Putri Merdekawati Irma Wahyu Rosanti Irma Yahya Ismaini Zain Kartika Fitriasari Khaerun Nisa' Krisna Wulandari Latifatul Mubarokah Lilik Hidayati, Lilik Ludia Ni’matuzzahroh M. Fariz Fadillah Mardianto Made Ayu Dwi Octavanny Madu Ratna Merly Fatriana Bintariningrum Meyda Arynta muhammad mashuri Nalim Nalim Ni Putu Dera Yanthi Nisa', Khaerun Novalia Dwita Pramitasari Novia Asri Kurniawati Nur Chamidah Nuraini, Ulfa Siti Nuraziza Arfan Nuroini, Husna Mir'atin Nurul Fajriyyah Nurul Fitriyani Nurul Izzah Nym Cista Striratna Dewi Octavianta Romauli Sitanggang Patrica Pungky Gabrela Permatasari, Erma Oktania Puspita Khanela Putra, Fachrian Bimantoro Putri, Asyifa Charmadya Ramadhani, Riska Kunti Ratri Galuh Pramesti Reza Mubarak Riana Kurnia Dewi Rifani Nur Sindy Setiawan Rizkiana Prima Rahmadina Robiatul Maziyah Ruli Sartika Sari Sherly Mega Tri Marina Shofa F Nisai Sifriyani, Sifriyani Siti Nasfirah Sjarief Widjaja Sony Sunaryo Sony Sunaryo Suryo Guritno Suryo Guritno Tavio, Tavio Vita Ratnasari Wiyli Yustanti Zaed Yuliadi Zaed Yuliadi, Zaed