Budi Lestari, .- and Fatmawati, .- and I Nyoman Budiantara, .- (2020) Spline estimator and its asymptotic properties in multiresponse nonparametric regression model. Songklanakarin Journal of Science & Technology, 42 (3). pp. 533-548. ISSN 0125-3395
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Abstract
In applications, we often meet the problem where more than one response variable is observed at several values of predictor variables, and these responses are correlated with each other. The multiresponse nonparametric regression model approach is appropriate to model the functions which represent relationship between response and predictor variables. This relationship is drawn by the regression function. The principal problem of this model approach is estimating of the regression function of this model. The spline estimator is one of the most popular estimators used for estimating it. In this paper we discuss methods to obtain a smoothing spline estimator for estimating the regression function, to get a covariance matrix estimator, and to choose an optimum smoothing parameter. In addition, we investigate the asymptotic properties of the smoothing spline estimator.
Item Type: | Article | ||||||||
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Uncontrolled Keywords: | multiresponse nonparametric regression, covariance matrix, spline estimator, smoothing parameter, asymptotic properties | ||||||||
Subjects: | Q Science Q Science > QA Mathematics Q Science > QA Mathematics > QA370-387 Differential Equations |
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Divisions: | 08. Fakultas Sains dan Teknologi > Matematika | ||||||||
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Depositing User: | Mr Vega Andi Budiman | ||||||||
Date Deposited: | 22 Mar 2022 14:56 | ||||||||
Last Modified: | 22 Mar 2022 14:56 | ||||||||
URI: | http://repository.unair.ac.id/id/eprint/114276 | ||||||||
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