Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 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.

Linked References

  1. X. Wang, Theory and Application of Parameter Estimation of Nonlinear Model, Wuhan University press, Wuhan, China, 2002.
  2. W. Xu, T. F. Coleman, and G. Liu, “A secant method for nonlinear least-squares minimization,” Computational Optimization and Applications, vol. 51, no. 1, pp. 159–173, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  3. J. Xu, X. Qing, and G. Liu, Control the Direction of the Theory of Least Square Method, Surveying and Mapping Press, Beijing, China, 2010.
  4. A. Xiao, “Some algorithms of nonlinear least squares,” Mathematical Theory and Applications, vol. 24, no. 2, pp. 86–90, 2004. View at Google Scholar
  5. J. M. Robins, A. Rotnitzkya, and L. P. Zhao, “Estimation of regression coefficients when some regressors are not always observed,” Journal of the American Statistical Association, vol. 89, no. 427, pp. 846–866, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. J. Jan, S. van Bellegem, and V. Anne, “Iterative regularization in nonparametric instrumental regression,” Journal of Statistical Planning and Inference, vol. 143, pp. 24–29, 2013. View at Publisher · View at Google Scholar
  7. J. Zhang, Y. Peng, and O. Zhao, “A new semiparametric estimation method for accelerated hazard model,” Biometrics, vol. 67, no. 4, pp. 1352–1360, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  8. L. Wang, L. D. Brown, and T. Cai, “A difference based approach to semiparametric partial linear model,” Tech. Rep., 2007. View at Google Scholar
  9. G. Liu, Y. Jiang, and H. Tao, “Nonlinear least squares adjustment by parameters,” Acta Geodaetica et Cartographica Sinica, vol. 27, no. 3, pp. 224–230, 1998. View at Google Scholar
  10. Z. Wang and H. Tao, “Determining the ridge parameter in a ridge estimation using l-curve method,” Geomatics and Information Science of Wuhan University, vol. 29, no. 3, pp. 235–238, 2004. View at Google Scholar
  11. P. C. Hansen, “Analysis of discrete Ill-posed problems by means of l-curve,” SIAM Review, vol. 34, no. 4, pp. 561–580, 1992. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  12. E. Haber and D. Oldenburg, “A GCV based method for nonlinear ill-posed problems,” Computational Geosciences, vol. 4, no. 1, pp. 41–63, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  13. M. Marlene, Semiparametric Extensions to Generalized Linear Models, Schrift zur Habilitation im Fach Statistik, Berlin, Germany, 2000.
  14. J. Langford, Learning Theory, Springer, Berlin, Germany, 2005.
  15. B. Tao, Error Theory and Survey Adjustment, Wuhan University Press, Wuhan, China, 2007.