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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 892107, 4 pages
http://dx.doi.org/10.1155/2014/892107
Research Article

Weighted Semiparameter Model and Its Application

1College of Mathematics and System Sciences, SDUST, Qingdao, Shandong 266590, China
2Geomatics College, SDUST, Qingdao, Shandong 266590, China

Received 13 December 2013; Revised 17 March 2014; Accepted 18 March 2014; Published 7 April 2014

Academic Editor: Chong Lin

Copyright © 2014 Zhengqing Fu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A weighted semiparameter estimate model is proposed. The parameter components and nonparameter components are weighted. The weights are determined by the characters of different data. Simulation data and real GPS data are both processed by the new model and least square estimate, ridge estimate, and semiparameter estimate. The main research method is to combine qualitative analysis and quantitative analysis. The deviation between estimated values and the true value and the estimated residuals fluctuation of different methods are used for qualitative analysis. The mean square error is used for quantitative analysis. The results of experiment show that the model has the smallest residual error and the minimum mean square error. The weighted semiparameter estimate model has effectiveness and high precision.