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I Nyoman Budiantara
Departemen Statistika Institut Teknologi Sepuluh Nopember
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Journal : MATEMATIKA

 1 
MODEL REGRESI NONPARAMETRIK ADITIF DENGAN FUNGSI LINK Nasfirah, Siti; Budiantara, I Nyoman; Fitriasari, Kartika
MATEMATIKA Vol 9, No 2 (2006): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

If  given a couple of data  and  the  relationship  between  variable x and y is revealed as nonparametric regression model with is an error which is random variable with zero mean and variance  and is unknown function. If is an additive function with x  Rd, d ≥ 2. By using link function F, this research is focused on the way to get the estimator in additive component with link function by using two-stage methode and completed with simulation using logit link function. The result shows that two-stage estimator is eisier be used to model nonparametric regression by link function rather than Nadaraya-Watson and local linear. From the simulation, it’s obtained that of the mean and R2 value of the estimator is similar. 
ANALISIS REGRESI SEMIPARAMETRIK PADA KASUS HILANGNYA RESPON Yahya, Irma; Budiantara, I Nyoman; Fitriasari, Kartika
MATEMATIKA Vol 9, No 1 (2006): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In the specific cases of experiment, not all data (response) may be available, which is called missing response cases. It’s appear for various reasons.  For the existing problem, inference statistics cannot be applied directly.  The aim of this research is to consider about certain method to impute the missing response which is related to semiparametric regression, as a goodness of fit measurement of the used method, suppose an estimator  which is compared to the mean of complete response, then consider asymptotic distribution, consistency and efficiency of parametrics component estimator. By using Kernel approximation, the resulted of nonparametrics estimator and by least square method, the resulted parametric component .The application to minimum temperature’s data in 56 cities at USA, estimator value of  for several confidence interval tend to be similar to the mean value of complete response.  
MODEL SPLINE DENGAN ERROR BERKORELASI Nalim, Nalim; Budiantara, I Nyoman
MATEMATIKA Vol 8, No 3 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Spline smoothing is a popular method for estimating the function in nonparametric regression  model. Its performance depends greatly on the choice of smoothing parameters. Many methods of selecting smoothing parameters such as GCV, GML and UBR are developed under the assumption of independent observations. They fail badly when data are correlated. In nonparametric regression, correlated error could be solved by finding weighted estimator and determine the correlation matrix from the error. Estimation of nonparametric function is obtained by minimizing the penalized weighted least-square (PWLS). In this paper, the extension of the GML method to estimate the smoothing parameters and correlation simulataneously is presented. Simulation was conducted to evaluate and to compare the performance of  the original GML and the extended GML method. The extended GML is recommended since it works well in all simulation scheme. This method is also able to illustrate the data concentration data in a continous chemical process
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