Estimation in the partially nonlinear model by continuous optimization
Fatma Yerlikaya-Özkurt1, Pakize Taylan2, Müjgan Tez3
1Department of Industrial Engineering, Atılım University, Ankara, Turkey.
Abstract:
A useful model for data analysis is the partially nonlinear model where response variable is represented as the sum of a nonparametric and a parametric component. In this study, we propose a new procedure for estimating the parameters in the partially nonlinear models. Therefore, we consider penalized profile nonlinear least square problem where nonparametric components are expressed as a B-spline basis function, and then estimation problem is expressed in terms of conic quadratic programming which is a continuous optimization problem and solved interior point method. An application study is conducted to evaluate the performance of the proposed method by considering some well-known performance measures. The results are compared against parametric nonlinear model.
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