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| Estimation of Multiresponse Nonparametric Regression Model |
Budi Lestari, Fatmawati, I Nyoman Budiantara
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Abstract:
Estimation of a regression model is equivalent to estimate a regression function of the regression model. The regression function draws association between response variable and predictor variable. Multiresponse nonparametric regression model provides powerful tools for modeling the function which represents association between response variable and predictor variable where there are correlations between responses. It means that estimating regression function is the main problem in the multiresponse nonparametric regression model. Smoothing spline estimator has powerful and flexible properties for estimating the regression function in this model. Therefore, in this paper we present the simulation study to determine regression function estimate of multiresponse nonparametric regression model based on smoothing spline estimator. In this simulation study we apply the smoothing spline estimator to three multiresponse nonparametric regression models represented by trigonometric, polynomial, and exponential models. The result shows that based on plots of estimation results, the smoothing spline estimator has good performance and flexibility for estimating the regression function of the multiresponse nonparametric regression models
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